Finding the Third Proportional to 25,740.50 and 41,108.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,740.50 : 41,108.75 = 41,108.75 : x
2. Step 2: Convert to fraction form
   25,740.50/41,108.75 = 41,108.75/x
3. Step 3: Cross multiply
   25,740.50x = 41,108.75 × 41,108.75
4. Step 4: Simplify right side
   25,740.50x = 1,689,929,326.56
5. Step 5: Solve for x
   x = 1,689,929,326.56/25,740.50
6. Step 6: Final answer
   x = 65,652.54