Finding the Third Proportional to 9,164 and 12,978

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164 : 12,978 = 12,978 : x
2. Step 2: Convert to fraction form
   9,164/12,978 = 12,978/x
3. Step 3: Cross multiply
   9,164x = 12,978 × 12,978
4. Step 4: Simplify right side
   9,164x = 168,428,484
5. Step 5: Solve for x
   x = 168,428,484/9,164
6. Step 6: Final answer
   x = 18,379.36