Finding the Third Proportional to 2,354.06 and 6,404.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,354.06 : 6,404.06 = 6,404.06 : x
2. Step 2: Convert to fraction form
   2,354.06/6,404.06 = 6,404.06/x
3. Step 3: Cross multiply
   2,354.06x = 6,404.06 × 6,404.06
4. Step 4: Simplify right side
   2,354.06x = 41,012,016.50
5. Step 5: Solve for x
   x = 41,012,016.50/2,354.06
6. Step 6: Final answer
   x = 17,421.80