Finding the Third Proportional to 3,724.50 and 7,758

Step by Step Solution

1. Step 1: Write the proportion equation
   3,724.50 : 7,758 = 7,758 : x
2. Step 2: Convert to fraction form
   3,724.50/7,758 = 7,758/x
3. Step 3: Cross multiply
   3,724.50x = 7,758 × 7,758
4. Step 4: Simplify right side
   3,724.50x = 60,186,564
5. Step 5: Solve for x
   x = 60,186,564/3,724.50
6. Step 6: Final answer
   x = 16,159.64