Finding the Third Proportional to 4,090.50 and 4,222.13

Step by Step Solution

1. Step 1: Write the proportion equation
   4,090.50 : 4,222.13 = 4,222.13 : x
2. Step 2: Convert to fraction form
   4,090.50/4,222.13 = 4,222.13/x
3. Step 3: Cross multiply
   4,090.50x = 4,222.13 × 4,222.13
4. Step 4: Simplify right side
   4,090.50x = 17,826,339.52
5. Step 5: Solve for x
   x = 17,826,339.52/4,090.50
6. Step 6: Final answer
   x = 4,357.99