Finding the Third Proportional to 1,442.81 and 1,932.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,442.81 : 1,932.61 = 1,932.61 : x
2. Step 2: Convert to fraction form
   1,442.81/1,932.61 = 1,932.61/x
3. Step 3: Cross multiply
   1,442.81x = 1,932.61 × 1,932.61
4. Step 4: Simplify right side
   1,442.81x = 3,734,979.00
5. Step 5: Solve for x
   x = 3,734,979.00/1,442.81
6. Step 6: Final answer
   x = 2,588.68