Finding the Third Proportional to 33,407 and 72,970

Step by Step Solution

1. Step 1: Write the proportion equation
   33,407 : 72,970 = 72,970 : x
2. Step 2: Convert to fraction form
   33,407/72,970 = 72,970/x
3. Step 3: Cross multiply
   33,407x = 72,970 × 72,970
4. Step 4: Simplify right side
   33,407x = 5,324,620,900
5. Step 5: Solve for x
   x = 5,324,620,900/33,407
6. Step 6: Final answer
   x = 159,386.38