Finding the Third Proportional to 774 and 1,091.06

Step by Step Solution

1. Step 1: Write the proportion equation
   774 : 1,091.06 = 1,091.06 : x
2. Step 2: Convert to fraction form
   774/1,091.06 = 1,091.06/x
3. Step 3: Cross multiply
   774x = 1,091.06 × 1,091.06
4. Step 4: Simplify right side
   774x = 1,190,417.38
5. Step 5: Solve for x
   x = 1,190,417.38/774
6. Step 6: Final answer
   x = 1,538.01