Finding the Third Proportional to 1,033 and 2,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033 : 2,261.50 = 2,261.50 : x
2. Step 2: Convert to fraction form
   1,033/2,261.50 = 2,261.50/x
3. Step 3: Cross multiply
   1,033x = 2,261.50 × 2,261.50
4. Step 4: Simplify right side
   1,033x = 5,114,382.25
5. Step 5: Solve for x
   x = 5,114,382.25/1,033
6. Step 6: Final answer
   x = 4,951.00