Finding the Third Proportional to 16,179 and 35,609

Step by Step Solution

1. Step 1: Write the proportion equation
   16,179 : 35,609 = 35,609 : x
2. Step 2: Convert to fraction form
   16,179/35,609 = 35,609/x
3. Step 3: Cross multiply
   16,179x = 35,609 × 35,609
4. Step 4: Simplify right side
   16,179x = 1,268,000,881
5. Step 5: Solve for x
   x = 1,268,000,881/16,179
6. Step 6: Final answer
   x = 78,373.25