Finding the Third Proportional to 1,394.72 and 2,184.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,394.72 : 2,184.47 = 2,184.47 : x
2. Step 2: Convert to fraction form
   1,394.72/2,184.47 = 2,184.47/x
3. Step 3: Cross multiply
   1,394.72x = 2,184.47 × 2,184.47
4. Step 4: Simplify right side
   1,394.72x = 4,771,903.72
5. Step 5: Solve for x
   x = 4,771,903.72/1,394.72
6. Step 6: Final answer
   x = 3,421.41