Finding the Third Proportional to 37.06 and 55.31

Step by Step Solution

1. Step 1: Write the proportion equation
   37.06 : 55.31 = 55.31 : x
2. Step 2: Convert to fraction form
   37.06/55.31 = 55.31/x
3. Step 3: Cross multiply
   37.06x = 55.31 × 55.31
4. Step 4: Simplify right side
   37.06x = 3,059.47
5. Step 5: Solve for x
   x = 3,059.47/37.06
6. Step 6: Final answer
   x = 82.55