Finding the Third Proportional to 1,108.50 and 1,738.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,108.50 : 1,738.88 = 1,738.88 : x
2. Step 2: Convert to fraction form
   1,108.50/1,738.88 = 1,738.88/x
3. Step 3: Cross multiply
   1,108.50x = 1,738.88 × 1,738.88
4. Step 4: Simplify right side
   1,108.50x = 3,023,686.27
5. Step 5: Solve for x
   x = 3,023,686.27/1,108.50
6. Step 6: Final answer
   x = 2,727.73