Finding the Third Proportional to 10,940 and 23,857

Step by Step Solution

1. Step 1: Write the proportion equation
   10,940 : 23,857 = 23,857 : x
2. Step 2: Convert to fraction form
   10,940/23,857 = 23,857/x
3. Step 3: Cross multiply
   10,940x = 23,857 × 23,857
4. Step 4: Simplify right side
   10,940x = 569,156,449
5. Step 5: Solve for x
   x = 569,156,449/10,940
6. Step 6: Final answer
   x = 52,025.27