Finding the Third Proportional to 23,843 and 52,354

Step by Step Solution

1. Step 1: Write the proportion equation
   23,843 : 52,354 = 52,354 : x
2. Step 2: Convert to fraction form
   23,843/52,354 = 52,354/x
3. Step 3: Cross multiply
   23,843x = 52,354 × 52,354
4. Step 4: Simplify right side
   23,843x = 2,740,941,316
5. Step 5: Solve for x
   x = 2,740,941,316/23,843
6. Step 6: Final answer
   x = 114,957.90