Finding the Third Proportional to 822.38 and 1,191.38

Step by Step Solution

1. Step 1: Write the proportion equation
   822.38 : 1,191.38 = 1,191.38 : x
2. Step 2: Convert to fraction form
   822.38/1,191.38 = 1,191.38/x
3. Step 3: Cross multiply
   822.38x = 1,191.38 × 1,191.38
4. Step 4: Simplify right side
   822.38x = 1,419,374.39
5. Step 5: Solve for x
   x = 1,419,374.39/822.38
6. Step 6: Final answer
   x = 1,725.95