Finding the Third Proportional to 12,538 and 17,528

Step by Step Solution

1. Step 1: Write the proportion equation
   12,538 : 17,528 = 17,528 : x
2. Step 2: Convert to fraction form
   12,538/17,528 = 17,528/x
3. Step 3: Cross multiply
   12,538x = 17,528 × 17,528
4. Step 4: Simplify right side
   12,538x = 307,230,784
5. Step 5: Solve for x
   x = 307,230,784/12,538
6. Step 6: Final answer
   x = 24,503.97