Finding the Third Proportional to 37,650 and 49,982

Step by Step Solution

1. Step 1: Write the proportion equation
   37,650 : 49,982 = 49,982 : x
2. Step 2: Convert to fraction form
   37,650/49,982 = 49,982/x
3. Step 3: Cross multiply
   37,650x = 49,982 × 49,982
4. Step 4: Simplify right side
   37,650x = 2,498,200,324
5. Step 5: Solve for x
   x = 2,498,200,324/37,650
6. Step 6: Final answer
   x = 66,353.26