Finding the Third Proportional to 2,021.63 and 5,266.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,021.63 : 5,266.69 = 5,266.69 : x
2. Step 2: Convert to fraction form
   2,021.63/5,266.69 = 5,266.69/x
3. Step 3: Cross multiply
   2,021.63x = 5,266.69 × 5,266.69
4. Step 4: Simplify right side
   2,021.63x = 27,737,997.22
5. Step 5: Solve for x
   x = 27,737,997.22/2,021.63
6. Step 6: Final answer
   x = 13,720.64