Finding the Third Proportional to 2,839.50 and 6,156.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,839.50 : 6,156.38 = 6,156.38 : x
2. Step 2: Convert to fraction form
   2,839.50/6,156.38 = 6,156.38/x
3. Step 3: Cross multiply
   2,839.50x = 6,156.38 × 6,156.38
4. Step 4: Simplify right side
   2,839.50x = 37,900,953.14
5. Step 5: Solve for x
   x = 37,900,953.14/2,839.50
6. Step 6: Final answer
   x = 13,347.76