Finding the Third Proportional to 9,528 and 13,420

Step by Step Solution

1. Step 1: Write the proportion equation
   9,528 : 13,420 = 13,420 : x
2. Step 2: Convert to fraction form
   9,528/13,420 = 13,420/x
3. Step 3: Cross multiply
   9,528x = 13,420 × 13,420
4. Step 4: Simplify right side
   9,528x = 180,096,400
5. Step 5: Solve for x
   x = 180,096,400/9,528
6. Step 6: Final answer
   x = 18,901.81