Finding the Third Proportional to 6,404.06 and 13,260.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404.06 : 13,260.38 = 13,260.38 : x
2. Step 2: Convert to fraction form
   6,404.06/13,260.38 = 13,260.38/x
3. Step 3: Cross multiply
   6,404.06x = 13,260.38 × 13,260.38
4. Step 4: Simplify right side
   6,404.06x = 175,837,545.14
5. Step 5: Solve for x
   x = 175,837,545.14/6,404.06
6. Step 6: Final answer
   x = 27,457.19