Finding the Third Proportional to 10,802 and 23,632

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802 : 23,632 = 23,632 : x
2. Step 2: Convert to fraction form
   10,802/23,632 = 23,632/x
3. Step 3: Cross multiply
   10,802x = 23,632 × 23,632
4. Step 4: Simplify right side
   10,802x = 558,471,424
5. Step 5: Solve for x
   x = 558,471,424/10,802
6. Step 6: Final answer
   x = 51,700.74