Finding the Third Proportional to 5,644.50 and 8,789.91

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.50 : 8,789.91 = 8,789.91 : x
2. Step 2: Convert to fraction form
   5,644.50/8,789.91 = 8,789.91/x
3. Step 3: Cross multiply
   5,644.50x = 8,789.91 × 8,789.91
4. Step 4: Simplify right side
   5,644.50x = 77,262,451.88
5. Step 5: Solve for x
   x = 77,262,451.88/5,644.50
6. Step 6: Final answer
   x = 13,688.09