Finding the Third Proportional to 33,307 and 71,350

Step by Step Solution

1. Step 1: Write the proportion equation
   33,307 : 71,350 = 71,350 : x
2. Step 2: Convert to fraction form
   33,307/71,350 = 71,350/x
3. Step 3: Cross multiply
   33,307x = 71,350 × 71,350
4. Step 4: Simplify right side
   33,307x = 5,090,822,500
5. Step 5: Solve for x
   x = 5,090,822,500/33,307
6. Step 6: Final answer
   x = 152,845.42