Finding the Third Proportional to 1,065 and 2,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065 : 2,281.50 = 2,281.50 : x
2. Step 2: Convert to fraction form
   1,065/2,281.50 = 2,281.50/x
3. Step 3: Cross multiply
   1,065x = 2,281.50 × 2,281.50
4. Step 4: Simplify right side
   1,065x = 5,205,242.25
5. Step 5: Solve for x
   x = 5,205,242.25/1,065
6. Step 6: Final answer
   x = 4,887.55