Finding the Third Proportional to 23,817 and 52,338

Step by Step Solution

1. Step 1: Write the proportion equation
   23,817 : 52,338 = 52,338 : x
2. Step 2: Convert to fraction form
   23,817/52,338 = 52,338/x
3. Step 3: Cross multiply
   23,817x = 52,338 × 52,338
4. Step 4: Simplify right side
   23,817x = 2,739,266,244
5. Step 5: Solve for x
   x = 2,739,266,244/23,817
6. Step 6: Final answer
   x = 115,013.07