Finding the Third Proportional to 5,324 and 10,164

Step by Step Solution

1. Step 1: Write the proportion equation
   5,324 : 10,164 = 10,164 : x
2. Step 2: Convert to fraction form
   5,324/10,164 = 10,164/x
3. Step 3: Cross multiply
   5,324x = 10,164 × 10,164
4. Step 4: Simplify right side
   5,324x = 103,306,896
5. Step 5: Solve for x
   x = 103,306,896/5,324
6. Step 6: Final answer
   x = 19,404