Finding the Third Proportional to 36,528 and 55,002

Step by Step Solution

1. Step 1: Write the proportion equation
   36,528 : 55,002 = 55,002 : x
2. Step 2: Convert to fraction form
   36,528/55,002 = 55,002/x
3. Step 3: Cross multiply
   36,528x = 55,002 × 55,002
4. Step 4: Simplify right side
   36,528x = 3,025,220,004
5. Step 5: Solve for x
   x = 3,025,220,004/36,528
6. Step 6: Final answer
   x = 82,819.21