Finding the Third Proportional to 16,116 and 34,168

Step by Step Solution

1. Step 1: Write the proportion equation
   16,116 : 34,168 = 34,168 : x
2. Step 2: Convert to fraction form
   16,116/34,168 = 34,168/x
3. Step 3: Cross multiply
   16,116x = 34,168 × 34,168
4. Step 4: Simplify right side
   16,116x = 1,167,452,224
5. Step 5: Solve for x
   x = 1,167,452,224/16,116
6. Step 6: Final answer
   x = 72,440.57