Finding the Third Proportional to 7,737.75 and 16,234.88

Step by Step Solution

1. Step 1: Write the proportion equation
   7,737.75 : 16,234.88 = 16,234.88 : x
2. Step 2: Convert to fraction form
   7,737.75/16,234.88 = 16,234.88/x
3. Step 3: Cross multiply
   7,737.75x = 16,234.88 × 16,234.88
4. Step 4: Simplify right side
   7,737.75x = 263,571,166.27
5. Step 5: Solve for x
   x = 263,571,166.27/7,737.75
6. Step 6: Final answer
   x = 34,063.02