Finding the Third Proportional to 3,965.25 and 5,569.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,965.25 : 5,569.88 = 5,569.88 : x
2. Step 2: Convert to fraction form
   3,965.25/5,569.88 = 5,569.88/x
3. Step 3: Cross multiply
   3,965.25x = 5,569.88 × 5,569.88
4. Step 4: Simplify right side
   3,965.25x = 31,023,507.52
5. Step 5: Solve for x
   x = 31,023,507.52/3,965.25
6. Step 6: Final answer
   x = 7,823.85