Finding the Third Proportional to 10,164 and 15,632

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 15,632 = 15,632 : x
2. Step 2: Convert to fraction form
   10,164/15,632 = 15,632/x
3. Step 3: Cross multiply
   10,164x = 15,632 × 15,632
4. Step 4: Simplify right side
   10,164x = 244,359,424
5. Step 5: Solve for x
   x = 244,359,424/10,164
6. Step 6: Final answer
   x = 24,041.66