Finding the Third Proportional to 10,084.71 and 22,159.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.71 : 22,159.83 = 22,159.83 : x
2. Step 2: Convert to fraction form
   10,084.71/22,159.83 = 22,159.83/x
3. Step 3: Cross multiply
   10,084.71x = 22,159.83 × 22,159.83
4. Step 4: Simplify right side
   10,084.71x = 491,057,982.53
5. Step 5: Solve for x
   x = 491,057,982.53/10,084.71
6. Step 6: Final answer
   x = 48,693.31