Finding the Third Proportional to 11,566 and 25,260

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566 : 25,260 = 25,260 : x
2. Step 2: Convert to fraction form
   11,566/25,260 = 25,260/x
3. Step 3: Cross multiply
   11,566x = 25,260 × 25,260
4. Step 4: Simplify right side
   11,566x = 638,067,600
5. Step 5: Solve for x
   x = 638,067,600/11,566
6. Step 6: Final answer
   x = 55,167.53