Finding the Third Proportional to 16,214 and 34,358

Step by Step Solution

1. Step 1: Write the proportion equation
   16,214 : 34,358 = 34,358 : x
2. Step 2: Convert to fraction form
   16,214/34,358 = 34,358/x
3. Step 3: Cross multiply
   16,214x = 34,358 × 34,358
4. Step 4: Simplify right side
   16,214x = 1,180,472,164
5. Step 5: Solve for x
   x = 1,180,472,164/16,214
6. Step 6: Final answer
   x = 72,805.73