Finding the Third Proportional to 11,565 and 25,225

Step by Step Solution

1. Step 1: Write the proportion equation
   11,565 : 25,225 = 25,225 : x
2. Step 2: Convert to fraction form
   11,565/25,225 = 25,225/x
3. Step 3: Cross multiply
   11,565x = 25,225 × 25,225
4. Step 4: Simplify right side
   11,565x = 636,300,625
5. Step 5: Solve for x
   x = 636,300,625/11,565
6. Step 6: Final answer
   x = 55,019.51