Finding the Third Proportional to 3,688.88 and 5,648.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.88 : 5,648.91 = 5,648.91 : x
2. Step 2: Convert to fraction form
   3,688.88/5,648.91 = 5,648.91/x
3. Step 3: Cross multiply
   3,688.88x = 5,648.91 × 5,648.91
4. Step 4: Simplify right side
   3,688.88x = 31,910,141.82
5. Step 5: Solve for x
   x = 31,910,141.82/3,688.88
6. Step 6: Final answer
   x = 8,650.37