Finding the Third Proportional to 16,486 and 34,591

Step by Step Solution

1. Step 1: Write the proportion equation
   16,486 : 34,591 = 34,591 : x
2. Step 2: Convert to fraction form
   16,486/34,591 = 34,591/x
3. Step 3: Cross multiply
   16,486x = 34,591 × 34,591
4. Step 4: Simplify right side
   16,486x = 1,196,537,281
5. Step 5: Solve for x
   x = 1,196,537,281/16,486
6. Step 6: Final answer
   x = 72,578.99