Finding the Third Proportional to 75.38 and 109.88

Step by Step Solution

1. Step 1: Write the proportion equation
   75.38 : 109.88 = 109.88 : x
2. Step 2: Convert to fraction form
   75.38/109.88 = 109.88/x
3. Step 3: Cross multiply
   75.38x = 109.88 × 109.88
4. Step 4: Simplify right side
   75.38x = 12,072.52
5. Step 5: Solve for x
   x = 12,072.52/75.38
6. Step 6: Final answer
   x = 160.17