Finding the Third Proportional to 729.56 and 837.56

Step by Step Solution

1. Step 1: Write the proportion equation
   729.56 : 837.56 = 837.56 : x
2. Step 2: Convert to fraction form
   729.56/837.56 = 837.56/x
3. Step 3: Cross multiply
   729.56x = 837.56 × 837.56
4. Step 4: Simplify right side
   729.56x = 701,510.94
5. Step 5: Solve for x
   x = 701,510.94/729.56
6. Step 6: Final answer
   x = 961.55