Finding the Third Proportional to 1,102.78 and 1,567.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,102.78 : 1,567.69 = 1,567.69 : x
2. Step 2: Convert to fraction form
   1,102.78/1,567.69 = 1,567.69/x
3. Step 3: Cross multiply
   1,102.78x = 1,567.69 × 1,567.69
4. Step 4: Simplify right side
   1,102.78x = 2,457,644.10
5. Step 5: Solve for x
   x = 2,457,644.10/1,102.78
6. Step 6: Final answer
   x = 2,228.59