Finding the Third Proportional to 3,585.38 and 5,260.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,585.38 : 5,260.50 = 5,260.50 : x
2. Step 2: Convert to fraction form
   3,585.38/5,260.50 = 5,260.50/x
3. Step 3: Cross multiply
   3,585.38x = 5,260.50 × 5,260.50
4. Step 4: Simplify right side
   3,585.38x = 27,672,860.25
5. Step 5: Solve for x
   x = 27,672,860.25/3,585.38
6. Step 6: Final answer
   x = 7,718.26