Finding the Third Proportional to 1,163.27 and 1,775.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,163.27 : 1,775.34 = 1,775.34 : x
2. Step 2: Convert to fraction form
   1,163.27/1,775.34 = 1,775.34/x
3. Step 3: Cross multiply
   1,163.27x = 1,775.34 × 1,775.34
4. Step 4: Simplify right side
   1,163.27x = 3,151,816.82
5. Step 5: Solve for x
   x = 3,151,816.82/1,163.27
6. Step 6: Final answer
   x = 2,709.45