Finding the Third Proportional to 1,585.50 and 3,238.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.50 : 3,238.13 = 3,238.13 : x
2. Step 2: Convert to fraction form
   1,585.50/3,238.13 = 3,238.13/x
3. Step 3: Cross multiply
   1,585.50x = 3,238.13 × 3,238.13
4. Step 4: Simplify right side
   1,585.50x = 10,485,453.52
5. Step 5: Solve for x
   x = 10,485,453.52/1,585.50
6. Step 6: Final answer
   x = 6,613.34