Finding the Third Proportional to 6,164 and 10,972

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164 : 10,972 = 10,972 : x
2. Step 2: Convert to fraction form
   6,164/10,972 = 10,972/x
3. Step 3: Cross multiply
   6,164x = 10,972 × 10,972
4. Step 4: Simplify right side
   6,164x = 120,384,784
5. Step 5: Solve for x
   x = 120,384,784/6,164
6. Step 6: Final answer
   x = 19,530.30