Finding the Third Proportional to 6,836.27 and 10,010.46

Step by Step Solution

1. Step 1: Write the proportion equation
   6,836.27 : 10,010.46 = 10,010.46 : x
2. Step 2: Convert to fraction form
   6,836.27/10,010.46 = 10,010.46/x
3. Step 3: Cross multiply
   6,836.27x = 10,010.46 × 10,010.46
4. Step 4: Simplify right side
   6,836.27x = 100,209,328.18
5. Step 5: Solve for x
   x = 100,209,328.18/6,836.27
6. Step 6: Final answer
   x = 14,658.47