Finding the Third Proportional to 47,666 and 72,782

Step by Step Solution

1. Step 1: Write the proportion equation
   47,666 : 72,782 = 72,782 : x
2. Step 2: Convert to fraction form
   47,666/72,782 = 72,782/x
3. Step 3: Cross multiply
   47,666x = 72,782 × 72,782
4. Step 4: Simplify right side
   47,666x = 5,297,219,524
5. Step 5: Solve for x
   x = 5,297,219,524/47,666
6. Step 6: Final answer
   x = 111,132.03