Finding the Third Proportional to 23,817 and 52,242

Step by Step Solution

1. Step 1: Write the proportion equation
   23,817 : 52,242 = 52,242 : x
2. Step 2: Convert to fraction form
   23,817/52,242 = 52,242/x
3. Step 3: Cross multiply
   23,817x = 52,242 × 52,242
4. Step 4: Simplify right side
   23,817x = 2,729,226,564
5. Step 5: Solve for x
   x = 2,729,226,564/23,817
6. Step 6: Final answer
   x = 114,591.53