Finding the Third Proportional to 9,200 and 14,574

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200 : 14,574 = 14,574 : x
2. Step 2: Convert to fraction form
   9,200/14,574 = 14,574/x
3. Step 3: Cross multiply
   9,200x = 14,574 × 14,574
4. Step 4: Simplify right side
   9,200x = 212,401,476
5. Step 5: Solve for x
   x = 212,401,476/9,200
6. Step 6: Final answer
   x = 23,087.12