Finding the Third Proportional to 2,801.06 and 6,148.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,801.06 : 6,148.78 = 6,148.78 : x
2. Step 2: Convert to fraction form
   2,801.06/6,148.78 = 6,148.78/x
3. Step 3: Cross multiply
   2,801.06x = 6,148.78 × 6,148.78
4. Step 4: Simplify right side
   2,801.06x = 37,807,510.86
5. Step 5: Solve for x
   x = 37,807,510.86/2,801.06
6. Step 6: Final answer
   x = 13,497.56