Finding the Third Proportional to 2,565 and 5,618.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565 : 5,618.25 = 5,618.25 : x
2. Step 2: Convert to fraction form
   2,565/5,618.25 = 5,618.25/x
3. Step 3: Cross multiply
   2,565x = 5,618.25 × 5,618.25
4. Step 4: Simplify right side
   2,565x = 31,564,733.06
5. Step 5: Solve for x
   x = 31,564,733.06/2,565
6. Step 6: Final answer
   x = 12,305.94