Finding the Third Proportional to 9,570 and 13,700

Step by Step Solution

1. Step 1: Write the proportion equation
   9,570 : 13,700 = 13,700 : x
2. Step 2: Convert to fraction form
   9,570/13,700 = 13,700/x
3. Step 3: Cross multiply
   9,570x = 13,700 × 13,700
4. Step 4: Simplify right side
   9,570x = 187,690,000
5. Step 5: Solve for x
   x = 187,690,000/9,570
6. Step 6: Final answer
   x = 19,612.33