Finding the Third Proportional to 37,678 and 55,382

Step by Step Solution

1. Step 1: Write the proportion equation
   37,678 : 55,382 = 55,382 : x
2. Step 2: Convert to fraction form
   37,678/55,382 = 55,382/x
3. Step 3: Cross multiply
   37,678x = 55,382 × 55,382
4. Step 4: Simplify right side
   37,678x = 3,067,165,924
5. Step 5: Solve for x
   x = 3,067,165,924/37,678
6. Step 6: Final answer
   x = 81,404.69