Finding the Third Proportional to 37,664 and 49,980

Step by Step Solution

1. Step 1: Write the proportion equation
   37,664 : 49,980 = 49,980 : x
2. Step 2: Convert to fraction form
   37,664/49,980 = 49,980/x
3. Step 3: Cross multiply
   37,664x = 49,980 × 49,980
4. Step 4: Simplify right side
   37,664x = 2,498,000,400
5. Step 5: Solve for x
   x = 2,498,000,400/37,664
6. Step 6: Final answer
   x = 66,323.29