Finding the Third Proportional to 42,296 and 65,864

Step by Step Solution

1. Step 1: Write the proportion equation
   42,296 : 65,864 = 65,864 : x
2. Step 2: Convert to fraction form
   42,296/65,864 = 65,864/x
3. Step 3: Cross multiply
   42,296x = 65,864 × 65,864
4. Step 4: Simplify right side
   42,296x = 4,338,066,496
5. Step 5: Solve for x
   x = 4,338,066,496/42,296
6. Step 6: Final answer
   x = 102,564.46