Finding the Third Proportional to 9,100.69 and 19,693.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100.69 : 19,693.13 = 19,693.13 : x
2. Step 2: Convert to fraction form
   9,100.69/19,693.13 = 19,693.13/x
3. Step 3: Cross multiply
   9,100.69x = 19,693.13 × 19,693.13
4. Step 4: Simplify right side
   9,100.69x = 387,819,172.27
5. Step 5: Solve for x
   x = 387,819,172.27/9,100.69
6. Step 6: Final answer
   x = 42,614.27