Finding the Third Proportional to 15,840 and 34,016

Step by Step Solution

1. Step 1: Write the proportion equation
   15,840 : 34,016 = 34,016 : x
2. Step 2: Convert to fraction form
   15,840/34,016 = 34,016/x
3. Step 3: Cross multiply
   15,840x = 34,016 × 34,016
4. Step 4: Simplify right side
   15,840x = 1,157,088,256
5. Step 5: Solve for x
   x = 1,157,088,256/15,840
6. Step 6: Final answer
   x = 73,048.50