Finding the Third Proportional to 33,418 and 71,205

Step by Step Solution

1. Step 1: Write the proportion equation
   33,418 : 71,205 = 71,205 : x
2. Step 2: Convert to fraction form
   33,418/71,205 = 71,205/x
3. Step 3: Cross multiply
   33,418x = 71,205 × 71,205
4. Step 4: Simplify right side
   33,418x = 5,070,152,025
5. Step 5: Solve for x
   x = 5,070,152,025/33,418
6. Step 6: Final answer
   x = 151,719.19