Finding the Third Proportional to 2,377.48 and 5,228.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.48 : 5,228.30 = 5,228.30 : x
2. Step 2: Convert to fraction form
   2,377.48/5,228.30 = 5,228.30/x
3. Step 3: Cross multiply
   2,377.48x = 5,228.30 × 5,228.30
4. Step 4: Simplify right side
   2,377.48x = 27,335,088.21
5. Step 5: Solve for x
   x = 27,335,088.21/2,377.48
6. Step 6: Final answer
   x = 11,497.52