Finding the Third Proportional to 1,740.38 and 2,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,740.38 : 2,695.50 = 2,695.50 : x
2. Step 2: Convert to fraction form
   1,740.38/2,695.50 = 2,695.50/x
3. Step 3: Cross multiply
   1,740.38x = 2,695.50 × 2,695.50
4. Step 4: Simplify right side
   1,740.38x = 7,265,720.25
5. Step 5: Solve for x
   x = 7,265,720.25/1,740.38
6. Step 6: Final answer
   x = 4,174.80