Finding the Third Proportional to 33,407 and 72,514

Step by Step Solution

1. Step 1: Write the proportion equation
   33,407 : 72,514 = 72,514 : x
2. Step 2: Convert to fraction form
   33,407/72,514 = 72,514/x
3. Step 3: Cross multiply
   33,407x = 72,514 × 72,514
4. Step 4: Simplify right side
   33,407x = 5,258,280,196
5. Step 5: Solve for x
   x = 5,258,280,196/33,407
6. Step 6: Final answer
   x = 157,400.55