Finding the Third Proportional to 3,698.16 and 8,112.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,698.16 : 8,112.02 = 8,112.02 : x
2. Step 2: Convert to fraction form
   3,698.16/8,112.02 = 8,112.02/x
3. Step 3: Cross multiply
   3,698.16x = 8,112.02 × 8,112.02
4. Step 4: Simplify right side
   3,698.16x = 65,804,924.25
5. Step 5: Solve for x
   x = 65,804,924.25/3,698.16
6. Step 6: Final answer
   x = 17,793.98