Finding the Third Proportional to 27,540 and 41,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,540 : 41,242.50 = 41,242.50 : x
2. Step 2: Convert to fraction form
   27,540/41,242.50 = 41,242.50/x
3. Step 3: Cross multiply
   27,540x = 41,242.50 × 41,242.50
4. Step 4: Simplify right side
   27,540x = 1,700,943,806.25
5. Step 5: Solve for x
   x = 1,700,943,806.25/27,540
6. Step 6: Final answer
   x = 61,762.67