Finding the Third Proportional to 12,339 and 17,458

Step by Step Solution

1. Step 1: Write the proportion equation
   12,339 : 17,458 = 17,458 : x
2. Step 2: Convert to fraction form
   12,339/17,458 = 17,458/x
3. Step 3: Cross multiply
   12,339x = 17,458 × 17,458
4. Step 4: Simplify right side
   12,339x = 304,781,764
5. Step 5: Solve for x
   x = 304,781,764/12,339
6. Step 6: Final answer
   x = 24,700.69