Finding the Third Proportional to 21,005 and 43,684

Step by Step Solution

1. Step 1: Write the proportion equation
   21,005 : 43,684 = 43,684 : x
2. Step 2: Convert to fraction form
   21,005/43,684 = 43,684/x
3. Step 3: Cross multiply
   21,005x = 43,684 × 43,684
4. Step 4: Simplify right side
   21,005x = 1,908,291,856
5. Step 5: Solve for x
   x = 1,908,291,856/21,005
6. Step 6: Final answer
   x = 90,849.41