Finding the Third Proportional to 16,366 and 34,190

Step by Step Solution

1. Step 1: Write the proportion equation
   16,366 : 34,190 = 34,190 : x
2. Step 2: Convert to fraction form
   16,366/34,190 = 34,190/x
3. Step 3: Cross multiply
   16,366x = 34,190 × 34,190
4. Step 4: Simplify right side
   16,366x = 1,168,956,100
5. Step 5: Solve for x
   x = 1,168,956,100/16,366
6. Step 6: Final answer
   x = 71,425.89