Finding the Third Proportional to 6,643.13 and 10,009.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,643.13 : 10,009.69 = 10,009.69 : x
2. Step 2: Convert to fraction form
   6,643.13/10,009.69 = 10,009.69/x
3. Step 3: Cross multiply
   6,643.13x = 10,009.69 × 10,009.69
4. Step 4: Simplify right side
   6,643.13x = 100,193,843.85
5. Step 5: Solve for x
   x = 100,193,843.85/6,643.13
6. Step 6: Final answer
   x = 15,082.34