Finding the Third Proportional to 21,677 and 40,762

Step by Step Solution

1. Step 1: Write the proportion equation
   21,677 : 40,762 = 40,762 : x
2. Step 2: Convert to fraction form
   21,677/40,762 = 40,762/x
3. Step 3: Cross multiply
   21,677x = 40,762 × 40,762
4. Step 4: Simplify right side
   21,677x = 1,661,540,644
5. Step 5: Solve for x
   x = 1,661,540,644/21,677
6. Step 6: Final answer
   x = 76,649.94