Finding the Third Proportional to 6,404.63 and 9,541.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404.63 : 9,541.69 = 9,541.69 : x
2. Step 2: Convert to fraction form
   6,404.63/9,541.69 = 9,541.69/x
3. Step 3: Cross multiply
   6,404.63x = 9,541.69 × 9,541.69
4. Step 4: Simplify right side
   6,404.63x = 91,043,800.35
5. Step 5: Solve for x
   x = 91,043,800.35/6,404.63
6. Step 6: Final answer
   x = 14,215.32