Finding the Third Proportional to 5,626.13 and 8,749.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,626.13 : 8,749.69 = 8,749.69 : x
2. Step 2: Convert to fraction form
   5,626.13/8,749.69 = 8,749.69/x
3. Step 3: Cross multiply
   5,626.13x = 8,749.69 × 8,749.69
4. Step 4: Simplify right side
   5,626.13x = 76,557,031.35
5. Step 5: Solve for x
   x = 76,557,031.35/5,626.13
6. Step 6: Final answer
   x = 13,607.42