Finding the Third Proportional to 1,033.17 and 2,264.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.17 : 2,264.20 = 2,264.20 : x
2. Step 2: Convert to fraction form
   1,033.17/2,264.20 = 2,264.20/x
3. Step 3: Cross multiply
   1,033.17x = 2,264.20 × 2,264.20
4. Step 4: Simplify right side
   1,033.17x = 5,126,615.79
5. Step 5: Solve for x
   x = 5,126,615.79/1,033.17
6. Step 6: Final answer
   x = 4,962.02