Finding the Third Proportional to 16,160 and 34,228

Step by Step Solution

1. Step 1: Write the proportion equation
   16,160 : 34,228 = 34,228 : x
2. Step 2: Convert to fraction form
   16,160/34,228 = 34,228/x
3. Step 3: Cross multiply
   16,160x = 34,228 × 34,228
4. Step 4: Simplify right side
   16,160x = 1,171,555,984
5. Step 5: Solve for x
   x = 1,171,555,984/16,160
6. Step 6: Final answer
   x = 72,497.28