Finding the Third Proportional to 33,666 and 70,716

Step by Step Solution

1. Step 1: Write the proportion equation
   33,666 : 70,716 = 70,716 : x
2. Step 2: Convert to fraction form
   33,666/70,716 = 70,716/x
3. Step 3: Cross multiply
   33,666x = 70,716 × 70,716
4. Step 4: Simplify right side
   33,666x = 5,000,752,656
5. Step 5: Solve for x
   x = 5,000,752,656/33,666
6. Step 6: Final answer
   x = 148,540.15