Finding the Third Proportional to 37,686 and 55,395

Step by Step Solution

1. Step 1: Write the proportion equation
   37,686 : 55,395 = 55,395 : x
2. Step 2: Convert to fraction form
   37,686/55,395 = 55,395/x
3. Step 3: Cross multiply
   37,686x = 55,395 × 55,395
4. Step 4: Simplify right side
   37,686x = 3,068,606,025
5. Step 5: Solve for x
   x = 3,068,606,025/37,686
6. Step 6: Final answer
   x = 81,425.62