Finding the Third Proportional to 16,013 and 34,897

Step by Step Solution

1. Step 1: Write the proportion equation
   16,013 : 34,897 = 34,897 : x
2. Step 2: Convert to fraction form
   16,013/34,897 = 34,897/x
3. Step 3: Cross multiply
   16,013x = 34,897 × 34,897
4. Step 4: Simplify right side
   16,013x = 1,217,800,609
5. Step 5: Solve for x
   x = 1,217,800,609/16,013
6. Step 6: Final answer
   x = 76,050.75