Finding the Third Proportional to 1,174.25 and 1,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174.25 : 1,761.50 = 1,761.50 : x
2. Step 2: Convert to fraction form
   1,174.25/1,761.50 = 1,761.50/x
3. Step 3: Cross multiply
   1,174.25x = 1,761.50 × 1,761.50
4. Step 4: Simplify right side
   1,174.25x = 3,102,882.25
5. Step 5: Solve for x
   x = 3,102,882.25/1,174.25
6. Step 6: Final answer
   x = 2,642.44