Finding the Third Proportional to 37,474 and 55,638

Step by Step Solution

1. Step 1: Write the proportion equation
   37,474 : 55,638 = 55,638 : x
2. Step 2: Convert to fraction form
   37,474/55,638 = 55,638/x
3. Step 3: Cross multiply
   37,474x = 55,638 × 55,638
4. Step 4: Simplify right side
   37,474x = 3,095,587,044
5. Step 5: Solve for x
   x = 3,095,587,044/37,474
6. Step 6: Final answer
   x = 82,606.26