Finding the Third Proportional to 10,582 and 12,502

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582 : 12,502 = 12,502 : x
2. Step 2: Convert to fraction form
   10,582/12,502 = 12,502/x
3. Step 3: Cross multiply
   10,582x = 12,502 × 12,502
4. Step 4: Simplify right side
   10,582x = 156,300,004
5. Step 5: Solve for x
   x = 156,300,004/10,582
6. Step 6: Final answer
   x = 14,770.37