Finding the Third Proportional to 1,174.38 and 1,641.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174.38 : 1,641.88 = 1,641.88 : x
2. Step 2: Convert to fraction form
   1,174.38/1,641.88 = 1,641.88/x
3. Step 3: Cross multiply
   1,174.38x = 1,641.88 × 1,641.88
4. Step 4: Simplify right side
   1,174.38x = 2,695,753.52
5. Step 5: Solve for x
   x = 2,695,753.52/1,174.38
6. Step 6: Final answer
   x = 2,295.48