Finding the Third Proportional to 5,074.52 and 7,586.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,074.52 : 7,586.16 = 7,586.16 : x
2. Step 2: Convert to fraction form
   5,074.52/7,586.16 = 7,586.16/x
3. Step 3: Cross multiply
   5,074.52x = 7,586.16 × 7,586.16
4. Step 4: Simplify right side
   5,074.52x = 57,549,766.65
5. Step 5: Solve for x
   x = 57,549,766.65/5,074.52
6. Step 6: Final answer
   x = 11,340.92