Finding the Third Proportional to 2,359.55 and 4,821.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.55 : 4,821.61 = 4,821.61 : x
2. Step 2: Convert to fraction form
   2,359.55/4,821.61 = 4,821.61/x
3. Step 3: Cross multiply
   2,359.55x = 4,821.61 × 4,821.61
4. Step 4: Simplify right side
   2,359.55x = 23,247,916.97
5. Step 5: Solve for x
   x = 23,247,916.97/2,359.55
6. Step 6: Final answer
   x = 9,852.70