Finding the Third Proportional to 12,576.75 and 16,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,576.75 : 16,384.50 = 16,384.50 : x
2. Step 2: Convert to fraction form
   12,576.75/16,384.50 = 16,384.50/x
3. Step 3: Cross multiply
   12,576.75x = 16,384.50 × 16,384.50
4. Step 4: Simplify right side
   12,576.75x = 268,451,840.25
5. Step 5: Solve for x
   x = 268,451,840.25/12,576.75
6. Step 6: Final answer
   x = 21,345.09