Finding the Third Proportional to 36,528 and 54,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,528 : 54,793.50 = 54,793.50 : x
2. Step 2: Convert to fraction form
   36,528/54,793.50 = 54,793.50/x
3. Step 3: Cross multiply
   36,528x = 54,793.50 × 54,793.50
4. Step 4: Simplify right side
   36,528x = 3,002,327,642.25
5. Step 5: Solve for x
   x = 3,002,327,642.25/36,528
6. Step 6: Final answer
   x = 82,192.50