Finding the Third Proportional to 729.56 and 1,112.91

Step by Step Solution

1. Step 1: Write the proportion equation
   729.56 : 1,112.91 = 1,112.91 : x
2. Step 2: Convert to fraction form
   729.56/1,112.91 = 1,112.91/x
3. Step 3: Cross multiply
   729.56x = 1,112.91 × 1,112.91
4. Step 4: Simplify right side
   729.56x = 1,238,560.32
5. Step 5: Solve for x
   x = 1,238,560.32/729.56
6. Step 6: Final answer
   x = 1,697.68