Finding the Third Proportional to 11,643 and 25,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,643 : 25,132.50 = 25,132.50 : x
2. Step 2: Convert to fraction form
   11,643/25,132.50 = 25,132.50/x
3. Step 3: Cross multiply
   11,643x = 25,132.50 × 25,132.50
4. Step 4: Simplify right side
   11,643x = 631,642,556.25
5. Step 5: Solve for x
   x = 631,642,556.25/11,643
6. Step 6: Final answer
   x = 54,250.84