Finding the Third Proportional to 1,538.44 and 3,142.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.44 : 3,142.69 = 3,142.69 : x
2. Step 2: Convert to fraction form
   1,538.44/3,142.69 = 3,142.69/x
3. Step 3: Cross multiply
   1,538.44x = 3,142.69 × 3,142.69
4. Step 4: Simplify right side
   1,538.44x = 9,876,484.72
5. Step 5: Solve for x
   x = 9,876,484.72/1,538.44
6. Step 6: Final answer
   x = 6,419.82