Finding the Third Proportional to 6,411.38 and 10,143.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,411.38 : 10,143.63 = 10,143.63 : x
2. Step 2: Convert to fraction form
   6,411.38/10,143.63 = 10,143.63/x
3. Step 3: Cross multiply
   6,411.38x = 10,143.63 × 10,143.63
4. Step 4: Simplify right side
   6,411.38x = 102,893,128.14
5. Step 5: Solve for x
   x = 102,893,128.14/6,411.38
6. Step 6: Final answer
   x = 16,048.53