Finding the Third Proportional to 830.04 and 1,162.27

Step by Step Solution

1. Step 1: Write the proportion equation
   830.04 : 1,162.27 = 1,162.27 : x
2. Step 2: Convert to fraction form
   830.04/1,162.27 = 1,162.27/x
3. Step 3: Cross multiply
   830.04x = 1,162.27 × 1,162.27
4. Step 4: Simplify right side
   830.04x = 1,350,861.38
5. Step 5: Solve for x
   x = 1,350,861.38/830.04
6. Step 6: Final answer
   x = 1,627.47