Finding the Third Proportional to 33,786 and 71,946

Step by Step Solution

1. Step 1: Write the proportion equation
   33,786 : 71,946 = 71,946 : x
2. Step 2: Convert to fraction form
   33,786/71,946 = 71,946/x
3. Step 3: Cross multiply
   33,786x = 71,946 × 71,946
4. Step 4: Simplify right side
   33,786x = 5,176,226,916
5. Step 5: Solve for x
   x = 5,176,226,916/33,786
6. Step 6: Final answer
   x = 153,206.27