Finding the Third Proportional to 10,091 and 21,682

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091 : 21,682 = 21,682 : x
2. Step 2: Convert to fraction form
   10,091/21,682 = 21,682/x
3. Step 3: Cross multiply
   10,091x = 21,682 × 21,682
4. Step 4: Simplify right side
   10,091x = 470,109,124
5. Step 5: Solve for x
   x = 470,109,124/10,091
6. Step 6: Final answer
   x = 46,586.97