Finding the Third Proportional to 9,528 and 12,646

Step by Step Solution

1. Step 1: Write the proportion equation
   9,528 : 12,646 = 12,646 : x
2. Step 2: Convert to fraction form
   9,528/12,646 = 12,646/x
3. Step 3: Cross multiply
   9,528x = 12,646 × 12,646
4. Step 4: Simplify right side
   9,528x = 159,921,316
5. Step 5: Solve for x
   x = 159,921,316/9,528
6. Step 6: Final answer
   x = 16,784.35