Finding the Third Proportional to 4,128,522,903,144 and 5,740,381,092,384

Step by Step Solution

1. Step 1: Write the proportion equation
   4,128,522,903,144 : 5,740,381,092,384 = 5,740,381,092,384 : x
2. Step 2: Convert to fraction form
   4,128,522,903,144/5,740,381,092,384 = 5,740,381,092,384/x
3. Step 3: Cross multiply
   4,128,522,903,144x = 5,740,381,092,384 × 5,740,381,092,384
4. Step 4: Simplify right side
   4,128,522,903,144x = 32,951,975,085,799,725,592,477,696
5. Step 5: Solve for x
   x = 32,951,975,085,799,725,592,477,696/4,128,522,903,144
6. Step 6: Final answer
   x = 7,981,541,064,167.47