Finding the Third Proportional to 16,205 and 34,939

Step by Step Solution

1. Step 1: Write the proportion equation
   16,205 : 34,939 = 34,939 : x
2. Step 2: Convert to fraction form
   16,205/34,939 = 34,939/x
3. Step 3: Cross multiply
   16,205x = 34,939 × 34,939
4. Step 4: Simplify right side
   16,205x = 1,220,733,721
5. Step 5: Solve for x
   x = 1,220,733,721/16,205
6. Step 6: Final answer
   x = 75,330.68