Finding the Third Proportional to 4,128,522,903,184 and 5,740,381,092,432

Step by Step Solution

1. Step 1: Write the proportion equation
   4,128,522,903,184 : 5,740,381,092,432 = 5,740,381,092,432 : x
2. Step 2: Convert to fraction form
   4,128,522,903,184/5,740,381,092,432 = 5,740,381,092,432/x
3. Step 3: Cross multiply
   4,128,522,903,184x = 5,740,381,092,432 × 5,740,381,092,432
4. Step 4: Simplify right side
   4,128,522,903,184x = 32,951,975,086,350,799,961,325,568
5. Step 5: Solve for x
   x = 32,951,975,086,350,799,961,325,568/4,128,522,903,184
6. Step 6: Final answer
   x = 7,981,541,064,223.62