Finding the Third Proportional to 37,628 and 55,107

Step by Step Solution

1. Step 1: Write the proportion equation
   37,628 : 55,107 = 55,107 : x
2. Step 2: Convert to fraction form
   37,628/55,107 = 55,107/x
3. Step 3: Cross multiply
   37,628x = 55,107 × 55,107
4. Step 4: Simplify right side
   37,628x = 3,036,781,449
5. Step 5: Solve for x
   x = 3,036,781,449/37,628
6. Step 6: Final answer
   x = 80,705.36