Finding the Third Proportional to 33,316 and 71,370

Step by Step Solution

1. Step 1: Write the proportion equation
   33,316 : 71,370 = 71,370 : x
2. Step 2: Convert to fraction form
   33,316/71,370 = 71,370/x
3. Step 3: Cross multiply
   33,316x = 71,370 × 71,370
4. Step 4: Simplify right side
   33,316x = 5,093,676,900
5. Step 5: Solve for x
   x = 5,093,676,900/33,316
6. Step 6: Final answer
   x = 152,889.81