Finding the Third Proportional to 826.13 and 1,101.38

Step by Step Solution

1. Step 1: Write the proportion equation
   826.13 : 1,101.38 = 1,101.38 : x
2. Step 2: Convert to fraction form
   826.13/1,101.38 = 1,101.38/x
3. Step 3: Cross multiply
   826.13x = 1,101.38 × 1,101.38
4. Step 4: Simplify right side
   826.13x = 1,213,026.89
5. Step 5: Solve for x
   x = 1,213,026.89/826.13
6. Step 6: Final answer
   x = 1,468.33