Finding the Third Proportional to 2,128.13 and 4,552.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.13 : 4,552.31 = 4,552.31 : x
2. Step 2: Convert to fraction form
   2,128.13/4,552.31 = 4,552.31/x
3. Step 3: Cross multiply
   2,128.13x = 4,552.31 × 4,552.31
4. Step 4: Simplify right side
   2,128.13x = 20,723,549.10
5. Step 5: Solve for x
   x = 20,723,549.10/2,128.13
6. Step 6: Final answer
   x = 9,737.94