Finding the Third Proportional to 14,144 and 33,312

Step by Step Solution

1. Step 1: Write the proportion equation
   14,144 : 33,312 = 33,312 : x
2. Step 2: Convert to fraction form
   14,144/33,312 = 33,312/x
3. Step 3: Cross multiply
   14,144x = 33,312 × 33,312
4. Step 4: Simplify right side
   14,144x = 1,109,689,344
5. Step 5: Solve for x
   x = 1,109,689,344/14,144
6. Step 6: Final answer
   x = 78,456.54