Finding the Third Proportional to 59.50 and 106.75

Step by Step Solution

1. Step 1: Write the proportion equation
   59.50 : 106.75 = 106.75 : x
2. Step 2: Convert to fraction form
   59.50/106.75 = 106.75/x
3. Step 3: Cross multiply
   59.50x = 106.75 × 106.75
4. Step 4: Simplify right side
   59.50x = 11,395.56
5. Step 5: Solve for x
   x = 11,395.56/59.50
6. Step 6: Final answer
   x = 191.52