Finding the Third Proportional to 9,700 and 13,530

Step by Step Solution

1. Step 1: Write the proportion equation
   9,700 : 13,530 = 13,530 : x
2. Step 2: Convert to fraction form
   9,700/13,530 = 13,530/x
3. Step 3: Cross multiply
   9,700x = 13,530 × 13,530
4. Step 4: Simplify right side
   9,700x = 183,060,900
5. Step 5: Solve for x
   x = 183,060,900/9,700
6. Step 6: Final answer
   x = 18,872.26