Finding the Third Proportional to 7,634.25 and 10,132.59

Step by Step Solution

1. Step 1: Write the proportion equation
   7,634.25 : 10,132.59 = 10,132.59 : x
2. Step 2: Convert to fraction form
   7,634.25/10,132.59 = 10,132.59/x
3. Step 3: Cross multiply
   7,634.25x = 10,132.59 × 10,132.59
4. Step 4: Simplify right side
   7,634.25x = 102,669,456.10
5. Step 5: Solve for x
   x = 102,669,456.10/7,634.25
6. Step 6: Final answer
   x = 13,448.53