Finding the Third Proportional to 12,538 and 14,650

Step by Step Solution

1. Step 1: Write the proportion equation
   12,538 : 14,650 = 14,650 : x
2. Step 2: Convert to fraction form
   12,538/14,650 = 14,650/x
3. Step 3: Cross multiply
   12,538x = 14,650 × 14,650
4. Step 4: Simplify right side
   12,538x = 214,622,500
5. Step 5: Solve for x
   x = 214,622,500/12,538
6. Step 6: Final answer
   x = 17,117.76