Finding the Third Proportional to 37,638 and 49,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,638 : 49,963.50 = 49,963.50 : x
2. Step 2: Convert to fraction form
   37,638/49,963.50 = 49,963.50/x
3. Step 3: Cross multiply
   37,638x = 49,963.50 × 49,963.50
4. Step 4: Simplify right side
   37,638x = 2,496,351,332.25
5. Step 5: Solve for x
   x = 2,496,351,332.25/37,638
6. Step 6: Final answer
   x = 66,325.29