Finding the Third Proportional to 10,829.25 and 23,617.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,829.25 : 23,617.13 = 23,617.13 : x
2. Step 2: Convert to fraction form
   10,829.25/23,617.13 = 23,617.13/x
3. Step 3: Cross multiply
   10,829.25x = 23,617.13 × 23,617.13
4. Step 4: Simplify right side
   10,829.25x = 557,768,593.27
5. Step 5: Solve for x
   x = 557,768,593.27/10,829.25
6. Step 6: Final answer
   x = 51,505.75