Finding the Third Proportional to 22,468 and 35,782

Step by Step Solution

1. Step 1: Write the proportion equation
   22,468 : 35,782 = 35,782 : x
2. Step 2: Convert to fraction form
   22,468/35,782 = 35,782/x
3. Step 3: Cross multiply
   22,468x = 35,782 × 35,782
4. Step 4: Simplify right side
   22,468x = 1,280,351,524
5. Step 5: Solve for x
   x = 1,280,351,524/22,468
6. Step 6: Final answer
   x = 56,985.56