Finding the Third Proportional to 2,876.34 and 6,097.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,876.34 : 6,097.78 = 6,097.78 : x
2. Step 2: Convert to fraction form
   2,876.34/6,097.78 = 6,097.78/x
3. Step 3: Cross multiply
   2,876.34x = 6,097.78 × 6,097.78
4. Step 4: Simplify right side
   2,876.34x = 37,182,936.17
5. Step 5: Solve for x
   x = 37,182,936.17/2,876.34
6. Step 6: Final answer
   x = 12,927.15