Finding the Third Proportional to 2,384.72 and 3,648.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384.72 : 3,648.09 = 3,648.09 : x
2. Step 2: Convert to fraction form
   2,384.72/3,648.09 = 3,648.09/x
3. Step 3: Cross multiply
   2,384.72x = 3,648.09 × 3,648.09
4. Step 4: Simplify right side
   2,384.72x = 13,308,588.01
5. Step 5: Solve for x
   x = 13,308,588.01/2,384.72
6. Step 6: Final answer
   x = 5,580.78