Finding the Third Proportional to 36,540 and 55,788

Step by Step Solution

1. Step 1: Write the proportion equation
   36,540 : 55,788 = 55,788 : x
2. Step 2: Convert to fraction form
   36,540/55,788 = 55,788/x
3. Step 3: Cross multiply
   36,540x = 55,788 × 55,788
4. Step 4: Simplify right side
   36,540x = 3,112,300,944
5. Step 5: Solve for x
   x = 3,112,300,944/36,540
6. Step 6: Final answer
   x = 85,175.18