Finding the Third Proportional to 10,468 and 14,200

Step by Step Solution

1. Step 1: Write the proportion equation
   10,468 : 14,200 = 14,200 : x
2. Step 2: Convert to fraction form
   10,468/14,200 = 14,200/x
3. Step 3: Cross multiply
   10,468x = 14,200 × 14,200
4. Step 4: Simplify right side
   10,468x = 201,640,000
5. Step 5: Solve for x
   x = 201,640,000/10,468
6. Step 6: Final answer
   x = 19,262.51