Finding the Third Proportional to 37,966 and 56,638

Step by Step Solution

1. Step 1: Write the proportion equation
   37,966 : 56,638 = 56,638 : x
2. Step 2: Convert to fraction form
   37,966/56,638 = 56,638/x
3. Step 3: Cross multiply
   37,966x = 56,638 × 56,638
4. Step 4: Simplify right side
   37,966x = 3,207,863,044
5. Step 5: Solve for x
   x = 3,207,863,044/37,966
6. Step 6: Final answer
   x = 84,493.05