Finding the Third Proportional to 16,540 and 34,416

Step by Step Solution

1. Step 1: Write the proportion equation
   16,540 : 34,416 = 34,416 : x
2. Step 2: Convert to fraction form
   16,540/34,416 = 34,416/x
3. Step 3: Cross multiply
   16,540x = 34,416 × 34,416
4. Step 4: Simplify right side
   16,540x = 1,184,461,056
5. Step 5: Solve for x
   x = 1,184,461,056/16,540
6. Step 6: Final answer
   x = 71,611.91