Finding the Third Proportional to 2,002.22 and 2,130.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.22 : 2,130.05 = 2,130.05 : x
2. Step 2: Convert to fraction form
   2,002.22/2,130.05 = 2,130.05/x
3. Step 3: Cross multiply
   2,002.22x = 2,130.05 × 2,130.05
4. Step 4: Simplify right side
   2,002.22x = 4,537,099.69
5. Step 5: Solve for x
   x = 4,537,099.69/2,002.22
6. Step 6: Final answer
   x = 2,266.04