Finding the Third Proportional to 6,461.16 and 10,366.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,461.16 : 10,366.59 = 10,366.59 : x
2. Step 2: Convert to fraction form
   6,461.16/10,366.59 = 10,366.59/x
3. Step 3: Cross multiply
   6,461.16x = 10,366.59 × 10,366.59
4. Step 4: Simplify right side
   6,461.16x = 107,466,265.98
5. Step 5: Solve for x
   x = 107,466,265.98/6,461.16
6. Step 6: Final answer
   x = 16,632.67