Finding the Third Proportional to 13,403 and 23,782

Step by Step Solution

1. Step 1: Write the proportion equation
   13,403 : 23,782 = 23,782 : x
2. Step 2: Convert to fraction form
   13,403/23,782 = 23,782/x
3. Step 3: Cross multiply
   13,403x = 23,782 × 23,782
4. Step 4: Simplify right side
   13,403x = 565,583,524
5. Step 5: Solve for x
   x = 565,583,524/13,403
6. Step 6: Final answer
   x = 42,198.28