Finding the Third Proportional to 1,167.75 and 1,355.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,167.75 : 1,355.06 = 1,355.06 : x
2. Step 2: Convert to fraction form
   1,167.75/1,355.06 = 1,355.06/x
3. Step 3: Cross multiply
   1,167.75x = 1,355.06 × 1,355.06
4. Step 4: Simplify right side
   1,167.75x = 1,836,194.38
5. Step 5: Solve for x
   x = 1,836,194.38/1,167.75
6. Step 6: Final answer
   x = 1,572.42