Finding the Third Proportional to 3,626 and 5,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,626 : 5,762.50 = 5,762.50 : x
2. Step 2: Convert to fraction form
   3,626/5,762.50 = 5,762.50/x
3. Step 3: Cross multiply
   3,626x = 5,762.50 × 5,762.50
4. Step 4: Simplify right side
   3,626x = 33,206,406.25
5. Step 5: Solve for x
   x = 33,206,406.25/3,626
6. Step 6: Final answer
   x = 9,157.86