Finding the Third Proportional to 1,442.81 and 1,654.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,442.81 : 1,654.17 = 1,654.17 : x
2. Step 2: Convert to fraction form
   1,442.81/1,654.17 = 1,654.17/x
3. Step 3: Cross multiply
   1,442.81x = 1,654.17 × 1,654.17
4. Step 4: Simplify right side
   1,442.81x = 2,736,284.59
5. Step 5: Solve for x
   x = 2,736,284.59/1,442.81
6. Step 6: Final answer
   x = 1,896.49