Finding the Third Proportional to 6,186.38 and 10,200.94

Step by Step Solution

1. Step 1: Write the proportion equation
   6,186.38 : 10,200.94 = 10,200.94 : x
2. Step 2: Convert to fraction form
   6,186.38/10,200.94 = 10,200.94/x
3. Step 3: Cross multiply
   6,186.38x = 10,200.94 × 10,200.94
4. Step 4: Simplify right side
   6,186.38x = 104,059,125.88
5. Step 5: Solve for x
   x = 104,059,125.88/6,186.38
6. Step 6: Final answer
   x = 16,820.69