Finding the Third Proportional to 3,180.23 and 4,852.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,180.23 : 4,852.83 = 4,852.83 : x
2. Step 2: Convert to fraction form
   3,180.23/4,852.83 = 4,852.83/x
3. Step 3: Cross multiply
   3,180.23x = 4,852.83 × 4,852.83
4. Step 4: Simplify right side
   3,180.23x = 23,549,940.81
5. Step 5: Solve for x
   x = 23,549,940.81/3,180.23
6. Step 6: Final answer
   x = 7,405.10