Finding the Third Proportional to 34.38 and 75.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34.38 : 75.50 = 75.50 : x
2. Step 2: Convert to fraction form
   34.38/75.50 = 75.50/x
3. Step 3: Cross multiply
   34.38x = 75.50 × 75.50
4. Step 4: Simplify right side
   34.38x = 5,700.25
5. Step 5: Solve for x
   x = 5,700.25/34.38
6. Step 6: Final answer
   x = 165.83