Finding the Third Proportional to 10,566 and 21,435

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566 : 21,435 = 21,435 : x
2. Step 2: Convert to fraction form
   10,566/21,435 = 21,435/x
3. Step 3: Cross multiply
   10,566x = 21,435 × 21,435
4. Step 4: Simplify right side
   10,566x = 459,459,225
5. Step 5: Solve for x
   x = 459,459,225/10,566
6. Step 6: Final answer
   x = 43,484.69