Finding the Third Proportional to 29,618 and 64,150

Step by Step Solution

1. Step 1: Write the proportion equation
   29,618 : 64,150 = 64,150 : x
2. Step 2: Convert to fraction form
   29,618/64,150 = 64,150/x
3. Step 3: Cross multiply
   29,618x = 64,150 × 64,150
4. Step 4: Simplify right side
   29,618x = 4,115,222,500
5. Step 5: Solve for x
   x = 4,115,222,500/29,618
6. Step 6: Final answer
   x = 138,943.29