Finding the Third Proportional to 73,974 and 105,782

Step by Step Solution

1. Step 1: Write the proportion equation
   73,974 : 105,782 = 105,782 : x
2. Step 2: Convert to fraction form
   73,974/105,782 = 105,782/x
3. Step 3: Cross multiply
   73,974x = 105,782 × 105,782
4. Step 4: Simplify right side
   73,974x = 11,189,831,524
5. Step 5: Solve for x
   x = 11,189,831,524/73,974
6. Step 6: Final answer
   x = 151,267.09