Finding the Third Proportional to 10,850 and 23,777

Step by Step Solution

1. Step 1: Write the proportion equation
   10,850 : 23,777 = 23,777 : x
2. Step 2: Convert to fraction form
   10,850/23,777 = 23,777/x
3. Step 3: Cross multiply
   10,850x = 23,777 × 23,777
4. Step 4: Simplify right side
   10,850x = 565,345,729
5. Step 5: Solve for x
   x = 565,345,729/10,850
6. Step 6: Final answer
   x = 52,105.60