Finding the Third Proportional to 23,842 and 52,352

Step by Step Solution

1. Step 1: Write the proportion equation
   23,842 : 52,352 = 52,352 : x
2. Step 2: Convert to fraction form
   23,842/52,352 = 52,352/x
3. Step 3: Cross multiply
   23,842x = 52,352 × 52,352
4. Step 4: Simplify right side
   23,842x = 2,740,731,904
5. Step 5: Solve for x
   x = 2,740,731,904/23,842
6. Step 6: Final answer
   x = 114,953.94