Finding the Third Proportional to 2,359.50 and 4,746

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.50 : 4,746 = 4,746 : x
2. Step 2: Convert to fraction form
   2,359.50/4,746 = 4,746/x
3. Step 3: Cross multiply
   2,359.50x = 4,746 × 4,746
4. Step 4: Simplify right side
   2,359.50x = 22,524,516
5. Step 5: Solve for x
   x = 22,524,516/2,359.50
6. Step 6: Final answer
   x = 9,546.31