Finding the Third Proportional to 23,682 and 51,009

Step by Step Solution

1. Step 1: Write the proportion equation
   23,682 : 51,009 = 51,009 : x
2. Step 2: Convert to fraction form
   23,682/51,009 = 51,009/x
3. Step 3: Cross multiply
   23,682x = 51,009 × 51,009
4. Step 4: Simplify right side
   23,682x = 2,601,918,081
5. Step 5: Solve for x
   x = 2,601,918,081/23,682
6. Step 6: Final answer
   x = 109,869.02