Finding the Third Proportional to 36,138 and 55,616.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,138 : 55,616.25 = 55,616.25 : x
2. Step 2: Convert to fraction form
   36,138/55,616.25 = 55,616.25/x
3. Step 3: Cross multiply
   36,138x = 55,616.25 × 55,616.25
4. Step 4: Simplify right side
   36,138x = 3,093,167,264.06
5. Step 5: Solve for x
   x = 3,093,167,264.06/36,138
6. Step 6: Final answer
   x = 85,593.21