Finding the Third Proportional to 32,048 and 42,864

Step by Step Solution

1. Step 1: Write the proportion equation
   32,048 : 42,864 = 42,864 : x
2. Step 2: Convert to fraction form
   32,048/42,864 = 42,864/x
3. Step 3: Cross multiply
   32,048x = 42,864 × 42,864
4. Step 4: Simplify right side
   32,048x = 1,837,322,496
5. Step 5: Solve for x
   x = 1,837,322,496/32,048
6. Step 6: Final answer
   x = 57,330.33