Finding the Third Proportional to 37,919 and 55,906

Step by Step Solution

1. Step 1: Write the proportion equation
   37,919 : 55,906 = 55,906 : x
2. Step 2: Convert to fraction form
   37,919/55,906 = 55,906/x
3. Step 3: Cross multiply
   37,919x = 55,906 × 55,906
4. Step 4: Simplify right side
   37,919x = 3,125,480,836
5. Step 5: Solve for x
   x = 3,125,480,836/37,919
6. Step 6: Final answer
   x = 82,425.19