Finding the Third Proportional to 5,564 and 10,969

Step by Step Solution

1. Step 1: Write the proportion equation
   5,564 : 10,969 = 10,969 : x
2. Step 2: Convert to fraction form
   5,564/10,969 = 10,969/x
3. Step 3: Cross multiply
   5,564x = 10,969 × 10,969
4. Step 4: Simplify right side
   5,564x = 120,318,961
5. Step 5: Solve for x
   x = 120,318,961/5,564
6. Step 6: Final answer
   x = 21,624.54