Finding the Third Proportional to 14,582 and 31,837

Step by Step Solution

1. Step 1: Write the proportion equation
   14,582 : 31,837 = 31,837 : x
2. Step 2: Convert to fraction form
   14,582/31,837 = 31,837/x
3. Step 3: Cross multiply
   14,582x = 31,837 × 31,837
4. Step 4: Simplify right side
   14,582x = 1,013,594,569
5. Step 5: Solve for x
   x = 1,013,594,569/14,582
6. Step 6: Final answer
   x = 69,509.98