Finding the Third Proportional to 1,567.88 and 2,089.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.88 : 2,089.88 = 2,089.88 : x
2. Step 2: Convert to fraction form
   1,567.88/2,089.88 = 2,089.88/x
3. Step 3: Cross multiply
   1,567.88x = 2,089.88 × 2,089.88
4. Step 4: Simplify right side
   1,567.88x = 4,367,577.52
5. Step 5: Solve for x
   x = 4,367,577.52/1,567.88
6. Step 6: Final answer
   x = 2,785.67