Finding the Third Proportional to 46,950 and 73,782

Step by Step Solution

1. Step 1: Write the proportion equation
   46,950 : 73,782 = 73,782 : x
2. Step 2: Convert to fraction form
   46,950/73,782 = 73,782/x
3. Step 3: Cross multiply
   46,950x = 73,782 × 73,782
4. Step 4: Simplify right side
   46,950x = 5,443,783,524
5. Step 5: Solve for x
   x = 5,443,783,524/46,950
6. Step 6: Final answer
   x = 115,948.53