Finding the Third Proportional to 33,834 and 71,316

Step by Step Solution

1. Step 1: Write the proportion equation
   33,834 : 71,316 = 71,316 : x
2. Step 2: Convert to fraction form
   33,834/71,316 = 71,316/x
3. Step 3: Cross multiply
   33,834x = 71,316 × 71,316
4. Step 4: Simplify right side
   33,834x = 5,085,971,856
5. Step 5: Solve for x
   x = 5,085,971,856/33,834
6. Step 6: Final answer
   x = 150,321.33