Finding the Third Proportional to 37,369 and 54,616

Step by Step Solution

1. Step 1: Write the proportion equation
   37,369 : 54,616 = 54,616 : x
2. Step 2: Convert to fraction form
   37,369/54,616 = 54,616/x
3. Step 3: Cross multiply
   37,369x = 54,616 × 54,616
4. Step 4: Simplify right side
   37,369x = 2,982,907,456
5. Step 5: Solve for x
   x = 2,982,907,456/37,369
6. Step 6: Final answer
   x = 79,823.05