Finding the Third Proportional to 9,838 and 23,777

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838 : 23,777 = 23,777 : x
2. Step 2: Convert to fraction form
   9,838/23,777 = 23,777/x
3. Step 3: Cross multiply
   9,838x = 23,777 × 23,777
4. Step 4: Simplify right side
   9,838x = 565,345,729
5. Step 5: Solve for x
   x = 565,345,729/9,838
6. Step 6: Final answer
   x = 57,465.51