Finding the Third Proportional to 33,666 and 70,814

Step by Step Solution

1. Step 1: Write the proportion equation
   33,666 : 70,814 = 70,814 : x
2. Step 2: Convert to fraction form
   33,666/70,814 = 70,814/x
3. Step 3: Cross multiply
   33,666x = 70,814 × 70,814
4. Step 4: Simplify right side
   33,666x = 5,014,622,596
5. Step 5: Solve for x
   x = 5,014,622,596/33,666
6. Step 6: Final answer
   x = 148,952.14