Finding the Third Proportional to 16,197 and 34,323

Step by Step Solution

1. Step 1: Write the proportion equation
   16,197 : 34,323 = 34,323 : x
2. Step 2: Convert to fraction form
   16,197/34,323 = 34,323/x
3. Step 3: Cross multiply
   16,197x = 34,323 × 34,323
4. Step 4: Simplify right side
   16,197x = 1,178,068,329
5. Step 5: Solve for x
   x = 1,178,068,329/16,197
6. Step 6: Final answer
   x = 72,733.74