Finding the Third Proportional to 7,126 and 10,969

Step by Step Solution

1. Step 1: Write the proportion equation
   7,126 : 10,969 = 10,969 : x
2. Step 2: Convert to fraction form
   7,126/10,969 = 10,969/x
3. Step 3: Cross multiply
   7,126x = 10,969 × 10,969
4. Step 4: Simplify right side
   7,126x = 120,318,961
5. Step 5: Solve for x
   x = 120,318,961/7,126
6. Step 6: Final answer
   x = 16,884.50