Finding the Third Proportional to 9,864 and 23,262

Step by Step Solution

1. Step 1: Write the proportion equation
   9,864 : 23,262 = 23,262 : x
2. Step 2: Convert to fraction form
   9,864/23,262 = 23,262/x
3. Step 3: Cross multiply
   9,864x = 23,262 × 23,262
4. Step 4: Simplify right side
   9,864x = 541,120,644
5. Step 5: Solve for x
   x = 541,120,644/9,864
6. Step 6: Final answer
   x = 54,858.14