Finding the Third Proportional to 1,116.56 and 1,767.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,116.56 : 1,767.38 = 1,767.38 : x
2. Step 2: Convert to fraction form
   1,116.56/1,767.38 = 1,767.38/x
3. Step 3: Cross multiply
   1,116.56x = 1,767.38 × 1,767.38
4. Step 4: Simplify right side
   1,116.56x = 3,123,614.39
5. Step 5: Solve for x
   x = 3,123,614.39/1,116.56
6. Step 6: Final answer
   x = 2,797.53