Finding the Third Proportional to 677.81 and 1,442.25

Step by Step Solution

1. Step 1: Write the proportion equation
   677.81 : 1,442.25 = 1,442.25 : x
2. Step 2: Convert to fraction form
   677.81/1,442.25 = 1,442.25/x
3. Step 3: Cross multiply
   677.81x = 1,442.25 × 1,442.25
4. Step 4: Simplify right side
   677.81x = 2,080,085.06
5. Step 5: Solve for x
   x = 2,080,085.06/677.81
6. Step 6: Final answer
   x = 3,068.82