Finding the Third Proportional to 9,964 and 21,682

Step by Step Solution

1. Step 1: Write the proportion equation
   9,964 : 21,682 = 21,682 : x
2. Step 2: Convert to fraction form
   9,964/21,682 = 21,682/x
3. Step 3: Cross multiply
   9,964x = 21,682 × 21,682
4. Step 4: Simplify right side
   9,964x = 470,109,124
5. Step 5: Solve for x
   x = 470,109,124/9,964
6. Step 6: Final answer
   x = 47,180.76