Finding the Third Proportional to 7,778.25 and 16,499.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,778.25 : 16,499.25 = 16,499.25 : x
2. Step 2: Convert to fraction form
   7,778.25/16,499.25 = 16,499.25/x
3. Step 3: Cross multiply
   7,778.25x = 16,499.25 × 16,499.25
4. Step 4: Simplify right side
   7,778.25x = 272,225,250.56
5. Step 5: Solve for x
   x = 272,225,250.56/7,778.25
6. Step 6: Final answer
   x = 34,998.26