Finding the Third Proportional to 14,569 and 21,145

Step by Step Solution

1. Step 1: Write the proportion equation
   14,569 : 21,145 = 21,145 : x
2. Step 2: Convert to fraction form
   14,569/21,145 = 21,145/x
3. Step 3: Cross multiply
   14,569x = 21,145 × 21,145
4. Step 4: Simplify right side
   14,569x = 447,111,025
5. Step 5: Solve for x
   x = 447,111,025/14,569
6. Step 6: Final answer
   x = 30,689.20