Finding the Third Proportional to 15,972 and 34,116

Step by Step Solution

1. Step 1: Write the proportion equation
   15,972 : 34,116 = 34,116 : x
2. Step 2: Convert to fraction form
   15,972/34,116 = 34,116/x
3. Step 3: Cross multiply
   15,972x = 34,116 × 34,116
4. Step 4: Simplify right side
   15,972x = 1,163,901,456
5. Step 5: Solve for x
   x = 1,163,901,456/15,972
6. Step 6: Final answer
   x = 72,871.37