Finding the Third Proportional to 20,740 and 32,406

Step by Step Solution

1. Step 1: Write the proportion equation
   20,740 : 32,406 = 32,406 : x
2. Step 2: Convert to fraction form
   20,740/32,406 = 32,406/x
3. Step 3: Cross multiply
   20,740x = 32,406 × 32,406
4. Step 4: Simplify right side
   20,740x = 1,050,148,836
5. Step 5: Solve for x
   x = 1,050,148,836/20,740
6. Step 6: Final answer
   x = 50,633.98