Finding the Third Proportional to 29,416 and 64,016

Step by Step Solution

1. Step 1: Write the proportion equation
   29,416 : 64,016 = 64,016 : x
2. Step 2: Convert to fraction form
   29,416/64,016 = 64,016/x
3. Step 3: Cross multiply
   29,416x = 64,016 × 64,016
4. Step 4: Simplify right side
   29,416x = 4,098,048,256
5. Step 5: Solve for x
   x = 4,098,048,256/29,416
6. Step 6: Final answer
   x = 139,313.58