Finding the Third Proportional to 30,221 and 64,816

Step by Step Solution

1. Step 1: Write the proportion equation
   30,221 : 64,816 = 64,816 : x
2. Step 2: Convert to fraction form
   30,221/64,816 = 64,816/x
3. Step 3: Cross multiply
   30,221x = 64,816 × 64,816
4. Step 4: Simplify right side
   30,221x = 4,201,113,856
5. Step 5: Solve for x
   x = 4,201,113,856/30,221
6. Step 6: Final answer
   x = 139,013.07