Finding the Third Proportional to 33,664 and 70,809

Step by Step Solution

1. Step 1: Write the proportion equation
   33,664 : 70,809 = 70,809 : x
2. Step 2: Convert to fraction form
   33,664/70,809 = 70,809/x
3. Step 3: Cross multiply
   33,664x = 70,809 × 70,809
4. Step 4: Simplify right side
   33,664x = 5,013,914,481
5. Step 5: Solve for x
   x = 5,013,914,481/33,664
6. Step 6: Final answer
   x = 148,939.95