Finding the Third Proportional to 16,262 and 23,777

Step by Step Solution

1. Step 1: Write the proportion equation
   16,262 : 23,777 = 23,777 : x
2. Step 2: Convert to fraction form
   16,262/23,777 = 23,777/x
3. Step 3: Cross multiply
   16,262x = 23,777 × 23,777
4. Step 4: Simplify right side
   16,262x = 565,345,729
5. Step 5: Solve for x
   x = 565,345,729/16,262
6. Step 6: Final answer
   x = 34,764.83