Finding the Third Proportional to 71.38 and 166.63

Step by Step Solution

1. Step 1: Write the proportion equation
   71.38 : 166.63 = 166.63 : x
2. Step 2: Convert to fraction form
   71.38/166.63 = 166.63/x
3. Step 3: Cross multiply
   71.38x = 166.63 × 166.63
4. Step 4: Simplify right side
   71.38x = 27,763.89
5. Step 5: Solve for x
   x = 27,763.89/71.38
6. Step 6: Final answer
   x = 388.99