Finding the Third Proportional to 39,816 and 55,806

Step by Step Solution

1. Step 1: Write the proportion equation
   39,816 : 55,806 = 55,806 : x
2. Step 2: Convert to fraction form
   39,816/55,806 = 55,806/x
3. Step 3: Cross multiply
   39,816x = 55,806 × 55,806
4. Step 4: Simplify right side
   39,816x = 3,114,309,636
5. Step 5: Solve for x
   x = 3,114,309,636/39,816
6. Step 6: Final answer
   x = 78,217.54