Finding the Third Proportional to 1,477.41 and 3,218.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.41 : 3,218.06 = 3,218.06 : x
2. Step 2: Convert to fraction form
   1,477.41/3,218.06 = 3,218.06/x
3. Step 3: Cross multiply
   1,477.41x = 3,218.06 × 3,218.06
4. Step 4: Simplify right side
   1,477.41x = 10,355,926.25
5. Step 5: Solve for x
   x = 10,355,926.25/1,477.41
6. Step 6: Final answer
   x = 7,009.53