Finding the Third Proportional to 35,539,682,022,596 and 72,078,659,096,328

Step by Step Solution

1. Step 1: Write the proportion equation
   35,539,682,022,596 : 72,078,659,096,328 = 72,078,659,096,328 : x
2. Step 2: Convert to fraction form
   35,539,682,022,596/72,078,659,096,328 = 72,078,659,096,328/x
3. Step 3: Cross multiply
   35,539,682,022,596x = 72,078,659,096,328 × 72,078,659,096,328
4. Step 4: Simplify right side
   35,539,682,022,596x = 5,195,333,097,124,667,407,883,829,248
5. Step 5: Solve for x
   x = 5,195,333,097,124,667,407,883,829,248/35,539,682,022,596
6. Step 6: Final answer
   x = 146,184,006,199,647.31