Finding the Third Proportional to 22,734 and 53,099

Step by Step Solution

1. Step 1: Write the proportion equation
   22,734 : 53,099 = 53,099 : x
2. Step 2: Convert to fraction form
   22,734/53,099 = 53,099/x
3. Step 3: Cross multiply
   22,734x = 53,099 × 53,099
4. Step 4: Simplify right side
   22,734x = 2,819,503,801
5. Step 5: Solve for x
   x = 2,819,503,801/22,734
6. Step 6: Final answer
   x = 124,021.46