Finding the Third Proportional to 5,699.25 and 8,624.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,699.25 : 8,624.81 = 8,624.81 : x
2. Step 2: Convert to fraction form
   5,699.25/8,624.81 = 8,624.81/x
3. Step 3: Cross multiply
   5,699.25x = 8,624.81 × 8,624.81
4. Step 4: Simplify right side
   5,699.25x = 74,387,390.66
5. Step 5: Solve for x
   x = 74,387,390.66/5,699.25
6. Step 6: Final answer
   x = 13,052.14