Finding the Third Proportional to 2,021.63 and 3,106.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,021.63 : 3,106.69 = 3,106.69 : x
2. Step 2: Convert to fraction form
   2,021.63/3,106.69 = 3,106.69/x
3. Step 3: Cross multiply
   2,021.63x = 3,106.69 × 3,106.69
4. Step 4: Simplify right side
   2,021.63x = 9,651,507.22
5. Step 5: Solve for x
   x = 9,651,507.22/2,021.63
6. Step 6: Final answer
   x = 4,774.13