Finding the Third Proportional to 739.76 and 1,042.72

Step by Step Solution

1. Step 1: Write the proportion equation
   739.76 : 1,042.72 = 1,042.72 : x
2. Step 2: Convert to fraction form
   739.76/1,042.72 = 1,042.72/x
3. Step 3: Cross multiply
   739.76x = 1,042.72 × 1,042.72
4. Step 4: Simplify right side
   739.76x = 1,087,258.32
5. Step 5: Solve for x
   x = 1,087,258.32/739.76
6. Step 6: Final answer
   x = 1,469.75