Finding the Third Proportional to 31,400 and 35,864

Step by Step Solution

1. Step 1: Write the proportion equation
   31,400 : 35,864 = 35,864 : x
2. Step 2: Convert to fraction form
   31,400/35,864 = 35,864/x
3. Step 3: Cross multiply
   31,400x = 35,864 × 35,864
4. Step 4: Simplify right side
   31,400x = 1,286,226,496
5. Step 5: Solve for x
   x = 1,286,226,496/31,400
6. Step 6: Final answer
   x = 40,962.63