Finding the Third Proportional to 75.75 and 111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75.75 : 111.50 = 111.50 : x
2. Step 2: Convert to fraction form
   75.75/111.50 = 111.50/x
3. Step 3: Cross multiply
   75.75x = 111.50 × 111.50
4. Step 4: Simplify right side
   75.75x = 12,432.25
5. Step 5: Solve for x
   x = 12,432.25/75.75
6. Step 6: Final answer
   x = 164.12