Finding the Third Proportional to 27,162 and 41,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,162 : 41,296.50 = 41,296.50 : x
2. Step 2: Convert to fraction form
   27,162/41,296.50 = 41,296.50/x
3. Step 3: Cross multiply
   27,162x = 41,296.50 × 41,296.50
4. Step 4: Simplify right side
   27,162x = 1,705,400,912.25
5. Step 5: Solve for x
   x = 1,705,400,912.25/27,162
6. Step 6: Final answer
   x = 62,786.28