Finding the Third Proportional to 2,976 and 4,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,976 : 4,591.50 = 4,591.50 : x
2. Step 2: Convert to fraction form
   2,976/4,591.50 = 4,591.50/x
3. Step 3: Cross multiply
   2,976x = 4,591.50 × 4,591.50
4. Step 4: Simplify right side
   2,976x = 21,081,872.25
5. Step 5: Solve for x
   x = 21,081,872.25/2,976
6. Step 6: Final answer
   x = 7,083.96