Finding the Third Proportional to 37,145 and 55,727

Step by Step Solution

1. Step 1: Write the proportion equation
   37,145 : 55,727 = 55,727 : x
2. Step 2: Convert to fraction form
   37,145/55,727 = 55,727/x
3. Step 3: Cross multiply
   37,145x = 55,727 × 55,727
4. Step 4: Simplify right side
   37,145x = 3,105,498,529
5. Step 5: Solve for x
   x = 3,105,498,529/37,145
6. Step 6: Final answer
   x = 83,604.75