Finding the Third Proportional to 33,148 and 64,616

Step by Step Solution

1. Step 1: Write the proportion equation
   33,148 : 64,616 = 64,616 : x
2. Step 2: Convert to fraction form
   33,148/64,616 = 64,616/x
3. Step 3: Cross multiply
   33,148x = 64,616 × 64,616
4. Step 4: Simplify right side
   33,148x = 4,175,227,456
5. Step 5: Solve for x
   x = 4,175,227,456/33,148
6. Step 6: Final answer
   x = 125,957.15