Finding the Third Proportional to 14,296 and 33,404

Step by Step Solution

1. Step 1: Write the proportion equation
   14,296 : 33,404 = 33,404 : x
2. Step 2: Convert to fraction form
   14,296/33,404 = 33,404/x
3. Step 3: Cross multiply
   14,296x = 33,404 × 33,404
4. Step 4: Simplify right side
   14,296x = 1,115,827,216
5. Step 5: Solve for x
   x = 1,115,827,216/14,296
6. Step 6: Final answer
   x = 78,051.71