Finding the Third Proportional to 23,013 and 53,782

Step by Step Solution

1. Step 1: Write the proportion equation
   23,013 : 53,782 = 53,782 : x
2. Step 2: Convert to fraction form
   23,013/53,782 = 53,782/x
3. Step 3: Cross multiply
   23,013x = 53,782 × 53,782
4. Step 4: Simplify right side
   23,013x = 2,892,503,524
5. Step 5: Solve for x
   x = 2,892,503,524/23,013
6. Step 6: Final answer
   x = 125,689.98