Finding the Third Proportional to 33,299 and 71,336

Step by Step Solution

1. Step 1: Write the proportion equation
   33,299 : 71,336 = 71,336 : x
2. Step 2: Convert to fraction form
   33,299/71,336 = 71,336/x
3. Step 3: Cross multiply
   33,299x = 71,336 × 71,336
4. Step 4: Simplify right side
   33,299x = 5,088,824,896
5. Step 5: Solve for x
   x = 5,088,824,896/33,299
6. Step 6: Final answer
   x = 152,822.15