Finding the Third Proportional to 14,421 and 31,682

Step by Step Solution

1. Step 1: Write the proportion equation
   14,421 : 31,682 = 31,682 : x
2. Step 2: Convert to fraction form
   14,421/31,682 = 31,682/x
3. Step 3: Cross multiply
   14,421x = 31,682 × 31,682
4. Step 4: Simplify right side
   14,421x = 1,003,749,124
5. Step 5: Solve for x
   x = 1,003,749,124/14,421
6. Step 6: Final answer
   x = 69,603.30