Finding the Third Proportional to 3,697.31 and 4,222.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.31 : 4,222.13 = 4,222.13 : x
2. Step 2: Convert to fraction form
   3,697.31/4,222.13 = 4,222.13/x
3. Step 3: Cross multiply
   3,697.31x = 4,222.13 × 4,222.13
4. Step 4: Simplify right side
   3,697.31x = 17,826,339.52
5. Step 5: Solve for x
   x = 17,826,339.52/3,697.31
6. Step 6: Final answer
   x = 4,821.43