Finding the Third Proportional to 14,256 and 33,038

Step by Step Solution

1. Step 1: Write the proportion equation
   14,256 : 33,038 = 33,038 : x
2. Step 2: Convert to fraction form
   14,256/33,038 = 33,038/x
3. Step 3: Cross multiply
   14,256x = 33,038 × 33,038
4. Step 4: Simplify right side
   14,256x = 1,091,509,444
5. Step 5: Solve for x
   x = 1,091,509,444/14,256
6. Step 6: Final answer
   x = 76,564.92