Finding the Third Proportional to 5,624.13 and 8,606.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,624.13 : 8,606.63 = 8,606.63 : x
2. Step 2: Convert to fraction form
   5,624.13/8,606.63 = 8,606.63/x
3. Step 3: Cross multiply
   5,624.13x = 8,606.63 × 8,606.63
4. Step 4: Simplify right side
   5,624.13x = 74,073,993.89
5. Step 5: Solve for x
   x = 74,073,993.89/5,624.13
6. Step 6: Final answer
   x = 13,170.76