Finding the Third Proportional to 37.50 and 50.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37.50 : 50.25 = 50.25 : x
2. Step 2: Convert to fraction form
   37.50/50.25 = 50.25/x
3. Step 3: Cross multiply
   37.50x = 50.25 × 50.25
4. Step 4: Simplify right side
   37.50x = 2,525.06
5. Step 5: Solve for x
   x = 2,525.06/37.50
6. Step 6: Final answer
   x = 67.34