Finding the Third Proportional to 15,816 and 34,014

Step by Step Solution

1. Step 1: Write the proportion equation
   15,816 : 34,014 = 34,014 : x
2. Step 2: Convert to fraction form
   15,816/34,014 = 34,014/x
3. Step 3: Cross multiply
   15,816x = 34,014 × 34,014
4. Step 4: Simplify right side
   15,816x = 1,156,952,196
5. Step 5: Solve for x
   x = 1,156,952,196/15,816
6. Step 6: Final answer
   x = 73,150.75