Finding the Third Proportional to 16,528 and 35,648

Step by Step Solution

1. Step 1: Write the proportion equation
   16,528 : 35,648 = 35,648 : x
2. Step 2: Convert to fraction form
   16,528/35,648 = 35,648/x
3. Step 3: Cross multiply
   16,528x = 35,648 × 35,648
4. Step 4: Simplify right side
   16,528x = 1,270,779,904
5. Step 5: Solve for x
   x = 1,270,779,904/16,528
6. Step 6: Final answer
   x = 76,886.49