Finding the Third Proportional to 9,570 and 13,035

Step by Step Solution

1. Step 1: Write the proportion equation
   9,570 : 13,035 = 13,035 : x
2. Step 2: Convert to fraction form
   9,570/13,035 = 13,035/x
3. Step 3: Cross multiply
   9,570x = 13,035 × 13,035
4. Step 4: Simplify right side
   9,570x = 169,911,225
5. Step 5: Solve for x
   x = 169,911,225/9,570
6. Step 6: Final answer
   x = 17,754.57