Finding the Third Proportional to 127.50 and 166.69

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 166.69 = 166.69 : x
2. Step 2: Convert to fraction form
   127.50/166.69 = 166.69/x
3. Step 3: Cross multiply
   127.50x = 166.69 × 166.69
4. Step 4: Simplify right side
   127.50x = 27,784.72
5. Step 5: Solve for x
   x = 27,784.72/127.50
6. Step 6: Final answer
   x = 217.92