Finding the Third Proportional to 10,296 and 23,670

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 23,670 = 23,670 : x
2. Step 2: Convert to fraction form
   10,296/23,670 = 23,670/x
3. Step 3: Cross multiply
   10,296x = 23,670 × 23,670
4. Step 4: Simplify right side
   10,296x = 560,268,900
5. Step 5: Solve for x
   x = 560,268,900/10,296
6. Step 6: Final answer
   x = 54,416.17