Finding the Third Proportional to 21,756 and 32,684

Step by Step Solution

1. Step 1: Write the proportion equation
   21,756 : 32,684 = 32,684 : x
2. Step 2: Convert to fraction form
   21,756/32,684 = 32,684/x
3. Step 3: Cross multiply
   21,756x = 32,684 × 32,684
4. Step 4: Simplify right side
   21,756x = 1,068,243,856
5. Step 5: Solve for x
   x = 1,068,243,856/21,756
6. Step 6: Final answer
   x = 49,101.11