Finding the Third Proportional to 11,600 and 25,504

Step by Step Solution

1. Step 1: Write the proportion equation
   11,600 : 25,504 = 25,504 : x
2. Step 2: Convert to fraction form
   11,600/25,504 = 25,504/x
3. Step 3: Cross multiply
   11,600x = 25,504 × 25,504
4. Step 4: Simplify right side
   11,600x = 650,454,016
5. Step 5: Solve for x
   x = 650,454,016/11,600
6. Step 6: Final answer
   x = 56,073.62