Finding the Third Proportional to 40,016 and 64,458

Step by Step Solution

1. Step 1: Write the proportion equation
   40,016 : 64,458 = 64,458 : x
2. Step 2: Convert to fraction form
   40,016/64,458 = 64,458/x
3. Step 3: Cross multiply
   40,016x = 64,458 × 64,458
4. Step 4: Simplify right side
   40,016x = 4,154,833,764
5. Step 5: Solve for x
   x = 4,154,833,764/40,016
6. Step 6: Final answer
   x = 103,829.31