Finding the Third Proportional to 7,777 and 16,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,777 : 16,665.50 = 16,665.50 : x
2. Step 2: Convert to fraction form
   7,777/16,665.50 = 16,665.50/x
3. Step 3: Cross multiply
   7,777x = 16,665.50 × 16,665.50
4. Step 4: Simplify right side
   7,777x = 277,738,890.25
5. Step 5: Solve for x
   x = 277,738,890.25/7,777
6. Step 6: Final answer
   x = 35,712.86