Finding the Third Proportional to 39,792 and 55,782

Step by Step Solution

1. Step 1: Write the proportion equation
   39,792 : 55,782 = 55,782 : x
2. Step 2: Convert to fraction form
   39,792/55,782 = 55,782/x
3. Step 3: Cross multiply
   39,792x = 55,782 × 55,782
4. Step 4: Simplify right side
   39,792x = 3,111,631,524
5. Step 5: Solve for x
   x = 3,111,631,524/39,792
6. Step 6: Final answer
   x = 78,197.41