Finding the Third Proportional to 27,540 and 41,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,540 : 41,269.50 = 41,269.50 : x
2. Step 2: Convert to fraction form
   27,540/41,269.50 = 41,269.50/x
3. Step 3: Cross multiply
   27,540x = 41,269.50 × 41,269.50
4. Step 4: Simplify right side
   27,540x = 1,703,171,630.25
5. Step 5: Solve for x
   x = 1,703,171,630.25/27,540
6. Step 6: Final answer
   x = 61,843.56