Finding the Third Proportional to 15,836 and 34,150

Step by Step Solution

1. Step 1: Write the proportion equation
   15,836 : 34,150 = 34,150 : x
2. Step 2: Convert to fraction form
   15,836/34,150 = 34,150/x
3. Step 3: Cross multiply
   15,836x = 34,150 × 34,150
4. Step 4: Simplify right side
   15,836x = 1,166,222,500
5. Step 5: Solve for x
   x = 1,166,222,500/15,836
6. Step 6: Final answer
   x = 73,643.75