Finding the Third Proportional to 33,299 and 70,835

Step by Step Solution

1. Step 1: Write the proportion equation
   33,299 : 70,835 = 70,835 : x
2. Step 2: Convert to fraction form
   33,299/70,835 = 70,835/x
3. Step 3: Cross multiply
   33,299x = 70,835 × 70,835
4. Step 4: Simplify right side
   33,299x = 5,017,597,225
5. Step 5: Solve for x
   x = 5,017,597,225/33,299
6. Step 6: Final answer
   x = 150,683.12