Finding the Third Proportional to 10,514 and 21,574

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514 : 21,574 = 21,574 : x
2. Step 2: Convert to fraction form
   10,514/21,574 = 21,574/x
3. Step 3: Cross multiply
   10,514x = 21,574 × 21,574
4. Step 4: Simplify right side
   10,514x = 465,437,476
5. Step 5: Solve for x
   x = 465,437,476/10,514
6. Step 6: Final answer
   x = 44,268.35