Finding the Third Proportional to 16,206 and 34,342

Step by Step Solution

1. Step 1: Write the proportion equation
   16,206 : 34,342 = 34,342 : x
2. Step 2: Convert to fraction form
   16,206/34,342 = 34,342/x
3. Step 3: Cross multiply
   16,206x = 34,342 × 34,342
4. Step 4: Simplify right side
   16,206x = 1,179,372,964
5. Step 5: Solve for x
   x = 1,179,372,964/16,206
6. Step 6: Final answer
   x = 72,773.85