Finding the Third Proportional to 1,393.50 and 2,089.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,393.50 : 2,089.75 = 2,089.75 : x
2. Step 2: Convert to fraction form
   1,393.50/2,089.75 = 2,089.75/x
3. Step 3: Cross multiply
   1,393.50x = 2,089.75 × 2,089.75
4. Step 4: Simplify right side
   1,393.50x = 4,367,055.06
5. Step 5: Solve for x
   x = 4,367,055.06/1,393.50
6. Step 6: Final answer
   x = 3,133.88