Finding the Third Proportional to 11,565 and 25,155

Step by Step Solution

1. Step 1: Write the proportion equation
   11,565 : 25,155 = 25,155 : x
2. Step 2: Convert to fraction form
   11,565/25,155 = 25,155/x
3. Step 3: Cross multiply
   11,565x = 25,155 × 25,155
4. Step 4: Simplify right side
   11,565x = 632,774,025
5. Step 5: Solve for x
   x = 632,774,025/11,565
6. Step 6: Final answer
   x = 54,714.57