Finding the Third Proportional to 3,185.58 and 4,848.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,185.58 : 4,848.61 = 4,848.61 : x
2. Step 2: Convert to fraction form
   3,185.58/4,848.61 = 4,848.61/x
3. Step 3: Cross multiply
   3,185.58x = 4,848.61 × 4,848.61
4. Step 4: Simplify right side
   3,185.58x = 23,509,012.87
5. Step 5: Solve for x
   x = 23,509,012.87/3,185.58
6. Step 6: Final answer
   x = 7,379.83