Finding the Third Proportional to 12,529 and 27,538

Step by Step Solution

1. Step 1: Write the proportion equation
   12,529 : 27,538 = 27,538 : x
2. Step 2: Convert to fraction form
   12,529/27,538 = 27,538/x
3. Step 3: Cross multiply
   12,529x = 27,538 × 27,538
4. Step 4: Simplify right side
   12,529x = 758,341,444
5. Step 5: Solve for x
   x = 758,341,444/12,529
6. Step 6: Final answer
   x = 60,526.89