Finding the Third Proportional to 71.38 and 113.88

Step by Step Solution

1. Step 1: Write the proportion equation
   71.38 : 113.88 = 113.88 : x
2. Step 2: Convert to fraction form
   71.38/113.88 = 113.88/x
3. Step 3: Cross multiply
   71.38x = 113.88 × 113.88
4. Step 4: Simplify right side
   71.38x = 12,967.52
5. Step 5: Solve for x
   x = 12,967.52/71.38
6. Step 6: Final answer
   x = 181.68