Finding the Third Proportional to 5,646 and 10,050

Step by Step Solution

1. Step 1: Write the proportion equation
   5,646 : 10,050 = 10,050 : x
2. Step 2: Convert to fraction form
   5,646/10,050 = 10,050/x
3. Step 3: Cross multiply
   5,646x = 10,050 × 10,050
4. Step 4: Simplify right side
   5,646x = 101,002,500
5. Step 5: Solve for x
   x = 101,002,500/5,646
6. Step 6: Final answer
   x = 17,889.21