Finding the Third Proportional to 7,777.69 and 16,498.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,777.69 : 16,498.69 = 16,498.69 : x
2. Step 2: Convert to fraction form
   7,777.69/16,498.69 = 16,498.69/x
3. Step 3: Cross multiply
   7,777.69x = 16,498.69 × 16,498.69
4. Step 4: Simplify right side
   7,777.69x = 272,206,689.22
5. Step 5: Solve for x
   x = 272,206,689.22/7,777.69
6. Step 6: Final answer
   x = 34,998.41