Finding the Third Proportional to 2,585.67 and 3,655.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.67 : 3,655.76 = 3,655.76 : x
2. Step 2: Convert to fraction form
   2,585.67/3,655.76 = 3,655.76/x
3. Step 3: Cross multiply
   2,585.67x = 3,655.76 × 3,655.76
4. Step 4: Simplify right side
   2,585.67x = 13,364,565.18
5. Step 5: Solve for x
   x = 13,364,565.18/2,585.67
6. Step 6: Final answer
   x = 5,168.70