Finding the Third Proportional to 2,421 and 3,664.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,421 : 3,664.69 = 3,664.69 : x
2. Step 2: Convert to fraction form
   2,421/3,664.69 = 3,664.69/x
3. Step 3: Cross multiply
   2,421x = 3,664.69 × 3,664.69
4. Step 4: Simplify right side
   2,421x = 13,429,934.47
5. Step 5: Solve for x
   x = 13,429,934.47/2,421
6. Step 6: Final answer
   x = 5,547.27