Finding the Third Proportional to 33,392 and 71,970

Step by Step Solution

1. Step 1: Write the proportion equation
   33,392 : 71,970 = 71,970 : x
2. Step 2: Convert to fraction form
   33,392/71,970 = 71,970/x
3. Step 3: Cross multiply
   33,392x = 71,970 × 71,970
4. Step 4: Simplify right side
   33,392x = 5,179,680,900
5. Step 5: Solve for x
   x = 5,179,680,900/33,392
6. Step 6: Final answer
   x = 155,117.42