Finding the Third Proportional to 31,269 and 73,766

Step by Step Solution

1. Step 1: Write the proportion equation
   31,269 : 73,766 = 73,766 : x
2. Step 2: Convert to fraction form
   31,269/73,766 = 73,766/x
3. Step 3: Cross multiply
   31,269x = 73,766 × 73,766
4. Step 4: Simplify right side
   31,269x = 5,441,422,756
5. Step 5: Solve for x
   x = 5,441,422,756/31,269
6. Step 6: Final answer
   x = 174,019.72