Finding the Third Proportional to 814.13 and 933.38

Step by Step Solution

1. Step 1: Write the proportion equation
   814.13 : 933.38 = 933.38 : x
2. Step 2: Convert to fraction form
   814.13/933.38 = 933.38/x
3. Step 3: Cross multiply
   814.13x = 933.38 × 933.38
4. Step 4: Simplify right side
   814.13x = 871,188.89
5. Step 5: Solve for x
   x = 871,188.89/814.13
6. Step 6: Final answer
   x = 1,070.09