Finding the Third Proportional to 16,080 and 34,206

Step by Step Solution

1. Step 1: Write the proportion equation
   16,080 : 34,206 = 34,206 : x
2. Step 2: Convert to fraction form
   16,080/34,206 = 34,206/x
3. Step 3: Cross multiply
   16,080x = 34,206 × 34,206
4. Step 4: Simplify right side
   16,080x = 1,170,050,436
5. Step 5: Solve for x
   x = 1,170,050,436/16,080
6. Step 6: Final answer
   x = 72,764.33