Finding the Third Proportional to 127.31 and 166.13

Step by Step Solution

1. Step 1: Write the proportion equation
   127.31 : 166.13 = 166.13 : x
2. Step 2: Convert to fraction form
   127.31/166.13 = 166.13/x
3. Step 3: Cross multiply
   127.31x = 166.13 × 166.13
4. Step 4: Simplify right side
   127.31x = 27,597.52
5. Step 5: Solve for x
   x = 27,597.52/127.31
6. Step 6: Final answer
   x = 216.77