Finding the Third Proportional to 6,287.63 and 10,126.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,287.63 : 10,126.69 = 10,126.69 : x
2. Step 2: Convert to fraction form
   6,287.63/10,126.69 = 10,126.69/x
3. Step 3: Cross multiply
   6,287.63x = 10,126.69 × 10,126.69
4. Step 4: Simplify right side
   6,287.63x = 102,549,799.72
5. Step 5: Solve for x
   x = 102,549,799.72/6,287.63
6. Step 6: Final answer
   x = 16,309.78