Finding the Third Proportional to 36,540 and 55,204.88

Step by Step Solution

1. Step 1: Write the proportion equation
   36,540 : 55,204.88 = 55,204.88 : x
2. Step 2: Convert to fraction form
   36,540/55,204.88 = 55,204.88/x
3. Step 3: Cross multiply
   36,540x = 55,204.88 × 55,204.88
4. Step 4: Simplify right side
   36,540x = 3,047,578,223.77
5. Step 5: Solve for x
   x = 3,047,578,223.77/36,540
6. Step 6: Final answer
   x = 83,403.89