Finding the Third Proportional to 33,118 and 64,570

Step by Step Solution

1. Step 1: Write the proportion equation
   33,118 : 64,570 = 64,570 : x
2. Step 2: Convert to fraction form
   33,118/64,570 = 64,570/x
3. Step 3: Cross multiply
   33,118x = 64,570 × 64,570
4. Step 4: Simplify right side
   33,118x = 4,169,284,900
5. Step 5: Solve for x
   x = 4,169,284,900/33,118
6. Step 6: Final answer
   x = 125,891.81