Finding the Third Proportional to 33,980 and 72,334

Step by Step Solution

1. Step 1: Write the proportion equation
   33,980 : 72,334 = 72,334 : x
2. Step 2: Convert to fraction form
   33,980/72,334 = 72,334/x
3. Step 3: Cross multiply
   33,980x = 72,334 × 72,334
4. Step 4: Simplify right side
   33,980x = 5,232,207,556
5. Step 5: Solve for x
   x = 5,232,207,556/33,980
6. Step 6: Final answer
   x = 153,979.03