Finding the Third Proportional to 37,800 and 50,616

Step by Step Solution

1. Step 1: Write the proportion equation
   37,800 : 50,616 = 50,616 : x
2. Step 2: Convert to fraction form
   37,800/50,616 = 50,616/x
3. Step 3: Cross multiply
   37,800x = 50,616 × 50,616
4. Step 4: Simplify right side
   37,800x = 2,561,979,456
5. Step 5: Solve for x
   x = 2,561,979,456/37,800
6. Step 6: Final answer
   x = 67,777.23