Finding the Third Proportional to 6,164 and 10,014.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164 : 10,014.38 = 10,014.38 : x
2. Step 2: Convert to fraction form
   6,164/10,014.38 = 10,014.38/x
3. Step 3: Cross multiply
   6,164x = 10,014.38 × 10,014.38
4. Step 4: Simplify right side
   6,164x = 100,287,706.64
5. Step 5: Solve for x
   x = 100,287,706.64/6,164
6. Step 6: Final answer
   x = 16,269.91