Finding the Third Proportional to 37,592 and 49,689

Step by Step Solution

1. Step 1: Write the proportion equation
   37,592 : 49,689 = 49,689 : x
2. Step 2: Convert to fraction form
   37,592/49,689 = 49,689/x
3. Step 3: Cross multiply
   37,592x = 49,689 × 49,689
4. Step 4: Simplify right side
   37,592x = 2,468,996,721
5. Step 5: Solve for x
   x = 2,468,996,721/37,592
6. Step 6: Final answer
   x = 65,678.78