Finding the Third Proportional to 37.88 and 50.81

Step by Step Solution

1. Step 1: Write the proportion equation
   37.88 : 50.81 = 50.81 : x
2. Step 2: Convert to fraction form
   37.88/50.81 = 50.81/x
3. Step 3: Cross multiply
   37.88x = 50.81 × 50.81
4. Step 4: Simplify right side
   37.88x = 2,581.91
5. Step 5: Solve for x
   x = 2,581.91/37.88
6. Step 6: Final answer
   x = 68.17