Finding the Third Proportional to 1,419.63 and 3,064.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.63 : 3,064.38 = 3,064.38 : x
2. Step 2: Convert to fraction form
   1,419.63/3,064.38 = 3,064.38/x
3. Step 3: Cross multiply
   1,419.63x = 3,064.38 × 3,064.38
4. Step 4: Simplify right side
   1,419.63x = 9,390,394.14
5. Step 5: Solve for x
   x = 9,390,394.14/1,419.63
6. Step 6: Final answer
   x = 6,614.70