Finding the Third Proportional to 35,978 and 73,383

Step by Step Solution

1. Step 1: Write the proportion equation
   35,978 : 73,383 = 73,383 : x
2. Step 2: Convert to fraction form
   35,978/73,383 = 73,383/x
3. Step 3: Cross multiply
   35,978x = 73,383 × 73,383
4. Step 4: Simplify right side
   35,978x = 5,385,064,689
5. Step 5: Solve for x
   x = 5,385,064,689/35,978
6. Step 6: Final answer
   x = 149,676.60