Finding the Third Proportional to 9,502 and 22,200

Step by Step Solution

1. Step 1: Write the proportion equation
   9,502 : 22,200 = 22,200 : x
2. Step 2: Convert to fraction form
   9,502/22,200 = 22,200/x
3. Step 3: Cross multiply
   9,502x = 22,200 × 22,200
4. Step 4: Simplify right side
   9,502x = 492,840,000
5. Step 5: Solve for x
   x = 492,840,000/9,502
6. Step 6: Final answer
   x = 51,866.98