Finding the Third Proportional to 37.50 and 79.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37.50 : 79.50 = 79.50 : x
2. Step 2: Convert to fraction form
   37.50/79.50 = 79.50/x
3. Step 3: Cross multiply
   37.50x = 79.50 × 79.50
4. Step 4: Simplify right side
   37.50x = 6,320.25
5. Step 5: Solve for x
   x = 6,320.25/37.50
6. Step 6: Final answer
   x = 168.54