Finding the Third Proportional to 23,842 and 52,459

Step by Step Solution

1. Step 1: Write the proportion equation
   23,842 : 52,459 = 52,459 : x
2. Step 2: Convert to fraction form
   23,842/52,459 = 52,459/x
3. Step 3: Cross multiply
   23,842x = 52,459 × 52,459
4. Step 4: Simplify right side
   23,842x = 2,751,946,681
5. Step 5: Solve for x
   x = 2,751,946,681/23,842
6. Step 6: Final answer
   x = 115,424.32