Finding the Third Proportional to 42,472 and 83,864

Step by Step Solution

1. Step 1: Write the proportion equation
   42,472 : 83,864 = 83,864 : x
2. Step 2: Convert to fraction form
   42,472/83,864 = 83,864/x
3. Step 3: Cross multiply
   42,472x = 83,864 × 83,864
4. Step 4: Simplify right side
   42,472x = 7,033,170,496
5. Step 5: Solve for x
   x = 7,033,170,496/42,472
6. Step 6: Final answer
   x = 165,595.46