Finding the Third Proportional to 10,188 and 22,320

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188 : 22,320 = 22,320 : x
2. Step 2: Convert to fraction form
   10,188/22,320 = 22,320/x
3. Step 3: Cross multiply
   10,188x = 22,320 × 22,320
4. Step 4: Simplify right side
   10,188x = 498,182,400
5. Step 5: Solve for x
   x = 498,182,400/10,188
6. Step 6: Final answer
   x = 48,898.94