Finding the Third Proportional to 37,638 and 55,221

Step by Step Solution

1. Step 1: Write the proportion equation
   37,638 : 55,221 = 55,221 : x
2. Step 2: Convert to fraction form
   37,638/55,221 = 55,221/x
3. Step 3: Cross multiply
   37,638x = 55,221 × 55,221
4. Step 4: Simplify right side
   37,638x = 3,049,358,841
5. Step 5: Solve for x
   x = 3,049,358,841/37,638
6. Step 6: Final answer
   x = 81,018.09