Finding the Third Proportional to 35,646 and 76,938

Step by Step Solution

1. Step 1: Write the proportion equation
   35,646 : 76,938 = 76,938 : x
2. Step 2: Convert to fraction form
   35,646/76,938 = 76,938/x
3. Step 3: Cross multiply
   35,646x = 76,938 × 76,938
4. Step 4: Simplify right side
   35,646x = 5,919,455,844
5. Step 5: Solve for x
   x = 5,919,455,844/35,646
6. Step 6: Final answer
   x = 166,062.27