Finding the Third Proportional to 9,164 and 13,320

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164 : 13,320 = 13,320 : x
2. Step 2: Convert to fraction form
   9,164/13,320 = 13,320/x
3. Step 3: Cross multiply
   9,164x = 13,320 × 13,320
4. Step 4: Simplify right side
   9,164x = 177,422,400
5. Step 5: Solve for x
   x = 177,422,400/9,164
6. Step 6: Final answer
   x = 19,360.80