Finding the Third Proportional to 35,539,682,022,598 and 72,078,659,096,332

Step by Step Solution

1. Step 1: Write the proportion equation
   35,539,682,022,598 : 72,078,659,096,332 = 72,078,659,096,332 : x
2. Step 2: Convert to fraction form
   35,539,682,022,598/72,078,659,096,332 = 72,078,659,096,332/x
3. Step 3: Cross multiply
   35,539,682,022,598x = 72,078,659,096,332 × 72,078,659,096,332
4. Step 4: Simplify right side
   35,539,682,022,598x = 5,195,333,097,125,243,551,976,783,872
5. Step 5: Solve for x
   x = 5,195,333,097,125,243,551,976,783,872/35,539,682,022,598
6. Step 6: Final answer
   x = 146,184,006,199,655.28