Finding the Third Proportional to 721.31 and 1,103.06

Step by Step Solution

1. Step 1: Write the proportion equation
   721.31 : 1,103.06 = 1,103.06 : x
2. Step 2: Convert to fraction form
   721.31/1,103.06 = 1,103.06/x
3. Step 3: Cross multiply
   721.31x = 1,103.06 × 1,103.06
4. Step 4: Simplify right side
   721.31x = 1,216,746.88
5. Step 5: Solve for x
   x = 1,216,746.88/721.31
6. Step 6: Final answer
   x = 1,686.85