Finding the Third Proportional to 35,539,682,022,602 and 72,078,659,096,340

Step by Step Solution

1. Step 1: Write the proportion equation
   35,539,682,022,602 : 72,078,659,096,340 = 72,078,659,096,340 : x
2. Step 2: Convert to fraction form
   35,539,682,022,602/72,078,659,096,340 = 72,078,659,096,340/x
3. Step 3: Cross multiply
   35,539,682,022,602x = 72,078,659,096,340 × 72,078,659,096,340
4. Step 4: Simplify right side
   35,539,682,022,602x = 5,195,333,097,126,396,939,674,320,896
5. Step 5: Solve for x
   x = 5,195,333,097,126,396,939,674,320,896/35,539,682,022,602
6. Step 6: Final answer
   x = 146,184,006,199,671.28