Finding the Third Proportional to 12,370 and 25,597

Step by Step Solution

1. Step 1: Write the proportion equation
   12,370 : 25,597 = 25,597 : x
2. Step 2: Convert to fraction form
   12,370/25,597 = 25,597/x
3. Step 3: Cross multiply
   12,370x = 25,597 × 25,597
4. Step 4: Simplify right side
   12,370x = 655,206,409
5. Step 5: Solve for x
   x = 655,206,409/12,370
6. Step 6: Final answer
   x = 52,967.37