Finding the Third Proportional to 21,807 and 32,302

Step by Step Solution

1. Step 1: Write the proportion equation
   21,807 : 32,302 = 32,302 : x
2. Step 2: Convert to fraction form
   21,807/32,302 = 32,302/x
3. Step 3: Cross multiply
   21,807x = 32,302 × 32,302
4. Step 4: Simplify right side
   21,807x = 1,043,419,204
5. Step 5: Solve for x
   x = 1,043,419,204/21,807
6. Step 6: Final answer
   x = 47,847.90