Finding the Third Proportional to 27,269.16 and 36,825.89

Step by Step Solution

1. Step 1: Write the proportion equation
   27,269.16 : 36,825.89 = 36,825.89 : x
2. Step 2: Convert to fraction form
   27,269.16/36,825.89 = 36,825.89/x
3. Step 3: Cross multiply
   27,269.16x = 36,825.89 × 36,825.89
4. Step 4: Simplify right side
   27,269.16x = 1,356,146,220.32
5. Step 5: Solve for x
   x = 1,356,146,220.32/27,269.16
6. Step 6: Final answer
   x = 49,731.87