Finding the Third Proportional to 12,434 and 17,523

Step by Step Solution

1. Step 1: Write the proportion equation
   12,434 : 17,523 = 17,523 : x
2. Step 2: Convert to fraction form
   12,434/17,523 = 17,523/x
3. Step 3: Cross multiply
   12,434x = 17,523 × 17,523
4. Step 4: Simplify right side
   12,434x = 307,055,529
5. Step 5: Solve for x
   x = 307,055,529/12,434
6. Step 6: Final answer
   x = 24,694.83