Finding the Third Proportional to 16,616 and 35,116

Step by Step Solution

1. Step 1: Write the proportion equation
   16,616 : 35,116 = 35,116 : x
2. Step 2: Convert to fraction form
   16,616/35,116 = 35,116/x
3. Step 3: Cross multiply
   16,616x = 35,116 × 35,116
4. Step 4: Simplify right side
   16,616x = 1,233,133,456
5. Step 5: Solve for x
   x = 1,233,133,456/16,616
6. Step 6: Final answer
   x = 74,213.62