Finding the Third Proportional to 33,665 and 70,813

Step by Step Solution

1. Step 1: Write the proportion equation
   33,665 : 70,813 = 70,813 : x
2. Step 2: Convert to fraction form
   33,665/70,813 = 70,813/x
3. Step 3: Cross multiply
   33,665x = 70,813 × 70,813
4. Step 4: Simplify right side
   33,665x = 5,014,480,969
5. Step 5: Solve for x
   x = 5,014,480,969/33,665
6. Step 6: Final answer
   x = 148,952.35