Finding the Third Proportional to 6,404.06 and 8,634.09

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404.06 : 8,634.09 = 8,634.09 : x
2. Step 2: Convert to fraction form
   6,404.06/8,634.09 = 8,634.09/x
3. Step 3: Cross multiply
   6,404.06x = 8,634.09 × 8,634.09
4. Step 4: Simplify right side
   6,404.06x = 74,547,574.88
5. Step 5: Solve for x
   x = 74,547,574.88/6,404.06
6. Step 6: Final answer
   x = 11,640.67