Finding the Third Proportional to 16,120 and 34,616

Step by Step Solution

1. Step 1: Write the proportion equation
   16,120 : 34,616 = 34,616 : x
2. Step 2: Convert to fraction form
   16,120/34,616 = 34,616/x
3. Step 3: Cross multiply
   16,120x = 34,616 × 34,616
4. Step 4: Simplify right side
   16,120x = 1,198,267,456
5. Step 5: Solve for x
   x = 1,198,267,456/16,120
6. Step 6: Final answer
   x = 74,334.21