Finding the Third Proportional to 1,468.41 and 3,214.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.41 : 3,214.69 = 3,214.69 : x
2. Step 2: Convert to fraction form
   1,468.41/3,214.69 = 3,214.69/x
3. Step 3: Cross multiply
   1,468.41x = 3,214.69 × 3,214.69
4. Step 4: Simplify right side
   1,468.41x = 10,334,215.72
5. Step 5: Solve for x
   x = 10,334,215.72/1,468.41
6. Step 6: Final answer
   x = 7,037.71