Finding the Third Proportional to 37.50 and 74.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37.50 : 74.38 = 74.38 : x
2. Step 2: Convert to fraction form
   37.50/74.38 = 74.38/x
3. Step 3: Cross multiply
   37.50x = 74.38 × 74.38
4. Step 4: Simplify right side
   37.50x = 5,531.64
5. Step 5: Solve for x
   x = 5,531.64/37.50
6. Step 6: Final answer
   x = 147.51