Finding the Third Proportional to 1,161.38 and 1,772.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,161.38 : 1,772.81 = 1,772.81 : x
2. Step 2: Convert to fraction form
   1,161.38/1,772.81 = 1,772.81/x
3. Step 3: Cross multiply
   1,161.38x = 1,772.81 × 1,772.81
4. Step 4: Simplify right side
   1,161.38x = 3,142,864.16
5. Step 5: Solve for x
   x = 3,142,864.16/1,161.38
6. Step 6: Final answer
   x = 2,706.16