Finding the Third Proportional to 10,132 and 15,662

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132 : 15,662 = 15,662 : x
2. Step 2: Convert to fraction form
   10,132/15,662 = 15,662/x
3. Step 3: Cross multiply
   10,132x = 15,662 × 15,662
4. Step 4: Simplify right side
   10,132x = 245,298,244
5. Step 5: Solve for x
   x = 245,298,244/10,132
6. Step 6: Final answer
   x = 24,210.25