Finding the Third Proportional to 3,655.69 and 8,624.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,655.69 : 8,624.25 = 8,624.25 : x
2. Step 2: Convert to fraction form
   3,655.69/8,624.25 = 8,624.25/x
3. Step 3: Cross multiply
   3,655.69x = 8,624.25 × 8,624.25
4. Step 4: Simplify right side
   3,655.69x = 74,377,688.06
5. Step 5: Solve for x
   x = 74,377,688.06/3,655.69
6. Step 6: Final answer
   x = 20,345.75