Finding the Third Proportional to 36,603 and 76,383

Step by Step Solution

1. Step 1: Write the proportion equation
   36,603 : 76,383 = 76,383 : x
2. Step 2: Convert to fraction form
   36,603/76,383 = 76,383/x
3. Step 3: Cross multiply
   36,603x = 76,383 × 76,383
4. Step 4: Simplify right side
   36,603x = 5,834,362,689
5. Step 5: Solve for x
   x = 5,834,362,689/36,603
6. Step 6: Final answer
   x = 159,395.75