Finding the Third Proportional to 5,332 and 10,180

Step by Step Solution

1. Step 1: Write the proportion equation
   5,332 : 10,180 = 10,180 : x
2. Step 2: Convert to fraction form
   5,332/10,180 = 10,180/x
3. Step 3: Cross multiply
   5,332x = 10,180 × 10,180
4. Step 4: Simplify right side
   5,332x = 103,632,400
5. Step 5: Solve for x
   x = 103,632,400/5,332
6. Step 6: Final answer
   x = 19,435.93