Finding the Third Proportional to 42,298 and 65,876

Step by Step Solution

1. Step 1: Write the proportion equation
   42,298 : 65,876 = 65,876 : x
2. Step 2: Convert to fraction form
   42,298/65,876 = 65,876/x
3. Step 3: Cross multiply
   42,298x = 65,876 × 65,876
4. Step 4: Simplify right side
   42,298x = 4,339,647,376
5. Step 5: Solve for x
   x = 4,339,647,376/42,298
6. Step 6: Final answer
   x = 102,596.99