Finding the Third Proportional to 12,592 and 25,730

Step by Step Solution

1. Step 1: Write the proportion equation
   12,592 : 25,730 = 25,730 : x
2. Step 2: Convert to fraction form
   12,592/25,730 = 25,730/x
3. Step 3: Cross multiply
   12,592x = 25,730 × 25,730
4. Step 4: Simplify right side
   12,592x = 662,032,900
5. Step 5: Solve for x
   x = 662,032,900/12,592
6. Step 6: Final answer
   x = 52,575.68