Finding the Third Proportional to 35,618 and 52,877

Step by Step Solution

1. Step 1: Write the proportion equation
   35,618 : 52,877 = 52,877 : x
2. Step 2: Convert to fraction form
   35,618/52,877 = 52,877/x
3. Step 3: Cross multiply
   35,618x = 52,877 × 52,877
4. Step 4: Simplify right side
   35,618x = 2,795,977,129
5. Step 5: Solve for x
   x = 2,795,977,129/35,618
6. Step 6: Final answer
   x = 78,498.99