Finding the Third Proportional to 2,947.78 and 6,415.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,947.78 : 6,415.31 = 6,415.31 : x
2. Step 2: Convert to fraction form
   2,947.78/6,415.31 = 6,415.31/x
3. Step 3: Cross multiply
   2,947.78x = 6,415.31 × 6,415.31
4. Step 4: Simplify right side
   2,947.78x = 41,156,234.47
5. Step 5: Solve for x
   x = 41,156,234.47/2,947.78
6. Step 6: Final answer
   x = 13,961.77