Finding the Third Proportional to 37.25 and 55.84

Step by Step Solution

1. Step 1: Write the proportion equation
   37.25 : 55.84 = 55.84 : x
2. Step 2: Convert to fraction form
   37.25/55.84 = 55.84/x
3. Step 3: Cross multiply
   37.25x = 55.84 × 55.84
4. Step 4: Simplify right side
   37.25x = 3,118.52
5. Step 5: Solve for x
   x = 3,118.52/37.25
6. Step 6: Final answer
   x = 83.72