Finding the Third Proportional to 711 and 1,091.25

Step by Step Solution

1. Step 1: Write the proportion equation
   711 : 1,091.25 = 1,091.25 : x
2. Step 2: Convert to fraction form
   711/1,091.25 = 1,091.25/x
3. Step 3: Cross multiply
   711x = 1,091.25 × 1,091.25
4. Step 4: Simplify right side
   711x = 1,190,826.56
5. Step 5: Solve for x
   x = 1,190,826.56/711
6. Step 6: Final answer
   x = 1,674.86