Finding the Third Proportional to 1,010.29 and 2,142.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.29 : 2,142.86 = 2,142.86 : x
2. Step 2: Convert to fraction form
   1,010.29/2,142.86 = 2,142.86/x
3. Step 3: Cross multiply
   1,010.29x = 2,142.86 × 2,142.86
4. Step 4: Simplify right side
   1,010.29x = 4,591,854.67
5. Step 5: Solve for x
   x = 4,591,854.67/1,010.29
6. Step 6: Final answer
   x = 4,545.11