Finding the Third Proportional to 40,072.50 and 57,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,072.50 : 57,262.50 = 57,262.50 : x
2. Step 2: Convert to fraction form
   40,072.50/57,262.50 = 57,262.50/x
3. Step 3: Cross multiply
   40,072.50x = 57,262.50 × 57,262.50
4. Step 4: Simplify right side
   40,072.50x = 3,278,993,906.25
5. Step 5: Solve for x
   x = 3,278,993,906.25/40,072.50
6. Step 6: Final answer
   x = 81,826.54