Finding the Third Proportional to 1,747.50 and 2,698.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,747.50 : 2,698.13 = 2,698.13 : x
2. Step 2: Convert to fraction form
   1,747.50/2,698.13 = 2,698.13/x
3. Step 3: Cross multiply
   1,747.50x = 2,698.13 × 2,698.13
4. Step 4: Simplify right side
   1,747.50x = 7,279,878.52
5. Step 5: Solve for x
   x = 7,279,878.52/1,747.50
6. Step 6: Final answer
   x = 4,165.88