Finding the Third Proportional to 2,565.50 and 5,617.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.50 : 5,617.63 = 5,617.63 : x
2. Step 2: Convert to fraction form
   2,565.50/5,617.63 = 5,617.63/x
3. Step 3: Cross multiply
   2,565.50x = 5,617.63 × 5,617.63
4. Step 4: Simplify right side
   2,565.50x = 31,557,710.64
5. Step 5: Solve for x
   x = 31,557,710.64/2,565.50
6. Step 6: Final answer
   x = 12,300.80