Finding the Third Proportional to 16,083 and 34,839

Step by Step Solution

1. Step 1: Write the proportion equation
   16,083 : 34,839 = 34,839 : x
2. Step 2: Convert to fraction form
   16,083/34,839 = 34,839/x
3. Step 3: Cross multiply
   16,083x = 34,839 × 34,839
4. Step 4: Simplify right side
   16,083x = 1,213,755,921
5. Step 5: Solve for x
   x = 1,213,755,921/16,083
6. Step 6: Final answer
   x = 75,468.25