Finding the Third Proportional to 23,830 and 52,266

Step by Step Solution

1. Step 1: Write the proportion equation
   23,830 : 52,266 = 52,266 : x
2. Step 2: Convert to fraction form
   23,830/52,266 = 52,266/x
3. Step 3: Cross multiply
   23,830x = 52,266 × 52,266
4. Step 4: Simplify right side
   23,830x = 2,731,734,756
5. Step 5: Solve for x
   x = 2,731,734,756/23,830
6. Step 6: Final answer
   x = 114,634.27