Finding the Third Proportional to 33,796 and 70,664

Step by Step Solution

1. Step 1: Write the proportion equation
   33,796 : 70,664 = 70,664 : x
2. Step 2: Convert to fraction form
   33,796/70,664 = 70,664/x
3. Step 3: Cross multiply
   33,796x = 70,664 × 70,664
4. Step 4: Simplify right side
   33,796x = 4,993,400,896
5. Step 5: Solve for x
   x = 4,993,400,896/33,796
6. Step 6: Final answer
   x = 147,751.24