Finding the Third Proportional to 42,816 and 65,234

Step by Step Solution

1. Step 1: Write the proportion equation
   42,816 : 65,234 = 65,234 : x
2. Step 2: Convert to fraction form
   42,816/65,234 = 65,234/x
3. Step 3: Cross multiply
   42,816x = 65,234 × 65,234
4. Step 4: Simplify right side
   42,816x = 4,255,474,756
5. Step 5: Solve for x
   x = 4,255,474,756/42,816
6. Step 6: Final answer
   x = 99,389.83