Finding the Third Proportional to 40,839 and 65,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,839 : 65,791.50 = 65,791.50 : x
2. Step 2: Convert to fraction form
   40,839/65,791.50 = 65,791.50/x
3. Step 3: Cross multiply
   40,839x = 65,791.50 × 65,791.50
4. Step 4: Simplify right side
   40,839x = 4,328,521,472.25
5. Step 5: Solve for x
   x = 4,328,521,472.25/40,839
6. Step 6: Final answer
   x = 105,989.90