Finding the Third Proportional to 37,710.75 and 55,686

Step by Step Solution

1. Step 1: Write the proportion equation
   37,710.75 : 55,686 = 55,686 : x
2. Step 2: Convert to fraction form
   37,710.75/55,686 = 55,686/x
3. Step 3: Cross multiply
   37,710.75x = 55,686 × 55,686
4. Step 4: Simplify right side
   37,710.75x = 3,100,930,596
5. Step 5: Solve for x
   x = 3,100,930,596/37,710.75
6. Step 6: Final answer
   x = 82,229.35