Finding the Third Proportional to 20,976 and 32,740

Step by Step Solution

1. Step 1: Write the proportion equation
   20,976 : 32,740 = 32,740 : x
2. Step 2: Convert to fraction form
   20,976/32,740 = 32,740/x
3. Step 3: Cross multiply
   20,976x = 32,740 × 32,740
4. Step 4: Simplify right side
   20,976x = 1,071,907,600
5. Step 5: Solve for x
   x = 1,071,907,600/20,976
6. Step 6: Final answer
   x = 51,101.62