Finding the Third Proportional to 16,085 and 34,921

Step by Step Solution

1. Step 1: Write the proportion equation
   16,085 : 34,921 = 34,921 : x
2. Step 2: Convert to fraction form
   16,085/34,921 = 34,921/x
3. Step 3: Cross multiply
   16,085x = 34,921 × 34,921
4. Step 4: Simplify right side
   16,085x = 1,219,476,241
5. Step 5: Solve for x
   x = 1,219,476,241/16,085
6. Step 6: Final answer
   x = 75,814.50