Finding the Third Proportional to 10,066 and 21,593

Step by Step Solution

1. Step 1: Write the proportion equation
   10,066 : 21,593 = 21,593 : x
2. Step 2: Convert to fraction form
   10,066/21,593 = 21,593/x
3. Step 3: Cross multiply
   10,066x = 21,593 × 21,593
4. Step 4: Simplify right side
   10,066x = 466,257,649
5. Step 5: Solve for x
   x = 466,257,649/10,066
6. Step 6: Final answer
   x = 46,320.05