Finding the Third Proportional to 37.06 and 53.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37.06 : 53.88 = 53.88 : x
2. Step 2: Convert to fraction form
   37.06/53.88 = 53.88/x
3. Step 3: Cross multiply
   37.06x = 53.88 × 53.88
4. Step 4: Simplify right side
   37.06x = 2,902.52
5. Step 5: Solve for x
   x = 2,902.52/37.06
6. Step 6: Final answer
   x = 78.31