Finding the Third Proportional to 37,638 and 55,122

Step by Step Solution

1. Step 1: Write the proportion equation
   37,638 : 55,122 = 55,122 : x
2. Step 2: Convert to fraction form
   37,638/55,122 = 55,122/x
3. Step 3: Cross multiply
   37,638x = 55,122 × 55,122
4. Step 4: Simplify right side
   37,638x = 3,038,434,884
5. Step 5: Solve for x
   x = 3,038,434,884/37,638
6. Step 6: Final answer
   x = 80,727.85