Finding the Third Proportional to 1,142.86 and 1,792.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.86 : 1,792.13 = 1,792.13 : x
2. Step 2: Convert to fraction form
   1,142.86/1,792.13 = 1,792.13/x
3. Step 3: Cross multiply
   1,142.86x = 1,792.13 × 1,792.13
4. Step 4: Simplify right side
   1,142.86x = 3,211,712.02
5. Step 5: Solve for x
   x = 3,211,712.02/1,142.86
6. Step 6: Final answer
   x = 2,810.24