Finding the Third Proportional to 33,666 and 70,980

Step by Step Solution

1. Step 1: Write the proportion equation
   33,666 : 70,980 = 70,980 : x
2. Step 2: Convert to fraction form
   33,666/70,980 = 70,980/x
3. Step 3: Cross multiply
   33,666x = 70,980 × 70,980
4. Step 4: Simplify right side
   33,666x = 5,038,160,400
5. Step 5: Solve for x
   x = 5,038,160,400/33,666
6. Step 6: Final answer
   x = 149,651.29