Finding the Third Proportional to 10,338 and 23,709

Step by Step Solution

1. Step 1: Write the proportion equation
   10,338 : 23,709 = 23,709 : x
2. Step 2: Convert to fraction form
   10,338/23,709 = 23,709/x
3. Step 3: Cross multiply
   10,338x = 23,709 × 23,709
4. Step 4: Simplify right side
   10,338x = 562,116,681
5. Step 5: Solve for x
   x = 562,116,681/10,338
6. Step 6: Final answer
   x = 54,373.83