Finding the Third Proportional to 33,142 and 64,612

Step by Step Solution

1. Step 1: Write the proportion equation
   33,142 : 64,612 = 64,612 : x
2. Step 2: Convert to fraction form
   33,142/64,612 = 64,612/x
3. Step 3: Cross multiply
   33,142x = 64,612 × 64,612
4. Step 4: Simplify right side
   33,142x = 4,174,710,544
5. Step 5: Solve for x
   x = 4,174,710,544/33,142
6. Step 6: Final answer
   x = 125,964.35