Finding the Third Proportional to 9,570 and 22,368

Step by Step Solution

1. Step 1: Write the proportion equation
   9,570 : 22,368 = 22,368 : x
2. Step 2: Convert to fraction form
   9,570/22,368 = 22,368/x
3. Step 3: Cross multiply
   9,570x = 22,368 × 22,368
4. Step 4: Simplify right side
   9,570x = 500,327,424
5. Step 5: Solve for x
   x = 500,327,424/9,570
6. Step 6: Final answer
   x = 52,280.82