Finding the Third Proportional to 796.50 and 1,158.38

Step by Step Solution

1. Step 1: Write the proportion equation
   796.50 : 1,158.38 = 1,158.38 : x
2. Step 2: Convert to fraction form
   796.50/1,158.38 = 1,158.38/x
3. Step 3: Cross multiply
   796.50x = 1,158.38 × 1,158.38
4. Step 4: Simplify right side
   796.50x = 1,341,832.64
5. Step 5: Solve for x
   x = 1,341,832.64/796.50
6. Step 6: Final answer
   x = 1,684.66