Finding the Third Proportional to 36,774 and 55,111.64

Step by Step Solution

1. Step 1: Write the proportion equation
   36,774 : 55,111.64 = 55,111.64 : x
2. Step 2: Convert to fraction form
   36,774/55,111.64 = 55,111.64/x
3. Step 3: Cross multiply
   36,774x = 55,111.64 × 55,111.64
4. Step 4: Simplify right side
   36,774x = 3,037,292,932.38
5. Step 5: Solve for x
   x = 3,037,292,932.38/36,774
6. Step 6: Final answer
   x = 82,593.49