Finding the Third Proportional to 14,382 and 21,510

Step by Step Solution

1. Step 1: Write the proportion equation
   14,382 : 21,510 = 21,510 : x
2. Step 2: Convert to fraction form
   14,382/21,510 = 21,510/x
3. Step 3: Cross multiply
   14,382x = 21,510 × 21,510
4. Step 4: Simplify right side
   14,382x = 462,680,100
5. Step 5: Solve for x
   x = 462,680,100/14,382
6. Step 6: Final answer
   x = 32,170.78