Finding the Third Proportional to 33,301 and 69,662

Step by Step Solution

1. Step 1: Write the proportion equation
   33,301 : 69,662 = 69,662 : x
2. Step 2: Convert to fraction form
   33,301/69,662 = 69,662/x
3. Step 3: Cross multiply
   33,301x = 69,662 × 69,662
4. Step 4: Simplify right side
   33,301x = 4,852,794,244
5. Step 5: Solve for x
   x = 4,852,794,244/33,301
6. Step 6: Final answer
   x = 145,725.18