Finding the Third Proportional to 37.13 and 53.72

Step by Step Solution

1. Step 1: Write the proportion equation
   37.13 : 53.72 = 53.72 : x
2. Step 2: Convert to fraction form
   37.13/53.72 = 53.72/x
3. Step 3: Cross multiply
   37.13x = 53.72 × 53.72
4. Step 4: Simplify right side
   37.13x = 2,885.70
5. Step 5: Solve for x
   x = 2,885.70/37.13
6. Step 6: Final answer
   x = 77.73