Finding the Third Proportional to 75.38 and 109.31

Step by Step Solution

1. Step 1: Write the proportion equation
   75.38 : 109.31 = 109.31 : x
2. Step 2: Convert to fraction form
   75.38/109.31 = 109.31/x
3. Step 3: Cross multiply
   75.38x = 109.31 × 109.31
4. Step 4: Simplify right side
   75.38x = 11,949.22
5. Step 5: Solve for x
   x = 11,949.22/75.38
6. Step 6: Final answer
   x = 158.53