Finding the Third Proportional to 4,006.50 and 5,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,006.50 : 5,976.50 = 5,976.50 : x
2. Step 2: Convert to fraction form
   4,006.50/5,976.50 = 5,976.50/x
3. Step 3: Cross multiply
   4,006.50x = 5,976.50 × 5,976.50
4. Step 4: Simplify right side
   4,006.50x = 35,718,552.25
5. Step 5: Solve for x
   x = 35,718,552.25/4,006.50
6. Step 6: Final answer
   x = 8,915.15