Finding the Third Proportional to 21,840 and 32,682

Step by Step Solution

1. Step 1: Write the proportion equation
   21,840 : 32,682 = 32,682 : x
2. Step 2: Convert to fraction form
   21,840/32,682 = 32,682/x
3. Step 3: Cross multiply
   21,840x = 32,682 × 32,682
4. Step 4: Simplify right side
   21,840x = 1,068,113,124
5. Step 5: Solve for x
   x = 1,068,113,124/21,840
6. Step 6: Final answer
   x = 48,906.28