Finding the Third Proportional to 3,586.50 and 5,381.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586.50 : 5,381.25 = 5,381.25 : x
2. Step 2: Convert to fraction form
   3,586.50/5,381.25 = 5,381.25/x
3. Step 3: Cross multiply
   3,586.50x = 5,381.25 × 5,381.25
4. Step 4: Simplify right side
   3,586.50x = 28,957,851.56
5. Step 5: Solve for x
   x = 28,957,851.56/3,586.50
6. Step 6: Final answer
   x = 8,074.13