Finding the Third Proportional to 36,613 and 55,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,613 : 55,324.50 = 55,324.50 : x
2. Step 2: Convert to fraction form
   36,613/55,324.50 = 55,324.50/x
3. Step 3: Cross multiply
   36,613x = 55,324.50 × 55,324.50
4. Step 4: Simplify right side
   36,613x = 3,060,800,300.25
5. Step 5: Solve for x
   x = 3,060,800,300.25/36,613
6. Step 6: Final answer
   x = 83,598.73