Finding the Third Proportional to 10,864 and 23,804

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864 : 23,804 = 23,804 : x
2. Step 2: Convert to fraction form
   10,864/23,804 = 23,804/x
3. Step 3: Cross multiply
   10,864x = 23,804 × 23,804
4. Step 4: Simplify right side
   10,864x = 566,630,416
5. Step 5: Solve for x
   x = 566,630,416/10,864
6. Step 6: Final answer
   x = 52,156.70