Finding the Third Proportional to 14,583 and 31,839

Step by Step Solution

1. Step 1: Write the proportion equation
   14,583 : 31,839 = 31,839 : x
2. Step 2: Convert to fraction form
   14,583/31,839 = 31,839/x
3. Step 3: Cross multiply
   14,583x = 31,839 × 31,839
4. Step 4: Simplify right side
   14,583x = 1,013,721,921
5. Step 5: Solve for x
   x = 1,013,721,921/14,583
6. Step 6: Final answer
   x = 69,513.95