Finding the Third Proportional to 3,139.59 and 6,538.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,139.59 : 6,538.22 = 6,538.22 : x
2. Step 2: Convert to fraction form
   3,139.59/6,538.22 = 6,538.22/x
3. Step 3: Cross multiply
   3,139.59x = 6,538.22 × 6,538.22
4. Step 4: Simplify right side
   3,139.59x = 42,748,304.42
5. Step 5: Solve for x
   x = 42,748,304.42/3,139.59
6. Step 6: Final answer
   x = 13,615.87