Finding the Third Proportional to 36,287 and 54,978

Step by Step Solution

1. Step 1: Write the proportion equation
   36,287 : 54,978 = 54,978 : x
2. Step 2: Convert to fraction form
   36,287/54,978 = 54,978/x
3. Step 3: Cross multiply
   36,287x = 54,978 × 54,978
4. Step 4: Simplify right side
   36,287x = 3,022,580,484
5. Step 5: Solve for x
   x = 3,022,580,484/36,287
6. Step 6: Final answer
   x = 83,296.51