Finding the Third Proportional to 35,180 and 51,616

Step by Step Solution

1. Step 1: Write the proportion equation
   35,180 : 51,616 = 51,616 : x
2. Step 2: Convert to fraction form
   35,180/51,616 = 51,616/x
3. Step 3: Cross multiply
   35,180x = 51,616 × 51,616
4. Step 4: Simplify right side
   35,180x = 2,664,211,456
5. Step 5: Solve for x
   x = 2,664,211,456/35,180
6. Step 6: Final answer
   x = 75,730.85