Finding the Third Proportional to 1,029.75 and 2,272.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.75 : 2,272.13 = 2,272.13 : x
2. Step 2: Convert to fraction form
   1,029.75/2,272.13 = 2,272.13/x
3. Step 3: Cross multiply
   1,029.75x = 2,272.13 × 2,272.13
4. Step 4: Simplify right side
   1,029.75x = 5,162,552.02
5. Step 5: Solve for x
   x = 5,162,552.02/1,029.75
6. Step 6: Final answer
   x = 5,013.40