Finding the Third Proportional to 33,314 and 69,706

Step by Step Solution

1. Step 1: Write the proportion equation
   33,314 : 69,706 = 69,706 : x
2. Step 2: Convert to fraction form
   33,314/69,706 = 69,706/x
3. Step 3: Cross multiply
   33,314x = 69,706 × 69,706
4. Step 4: Simplify right side
   33,314x = 4,858,926,436
5. Step 5: Solve for x
   x = 4,858,926,436/33,314
6. Step 6: Final answer
   x = 145,852.39