Finding the Third Proportional to 37.50 and 73.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37.50 : 73.38 = 73.38 : x
2. Step 2: Convert to fraction form
   37.50/73.38 = 73.38/x
3. Step 3: Cross multiply
   37.50x = 73.38 × 73.38
4. Step 4: Simplify right side
   37.50x = 5,383.89
5. Step 5: Solve for x
   x = 5,383.89/37.50
6. Step 6: Final answer
   x = 143.57