Finding the Third Proportional to 39,546 and 59,256

Step by Step Solution

1. Step 1: Write the proportion equation
   39,546 : 59,256 = 59,256 : x
2. Step 2: Convert to fraction form
   39,546/59,256 = 59,256/x
3. Step 3: Cross multiply
   39,546x = 59,256 × 59,256
4. Step 4: Simplify right side
   39,546x = 3,511,273,536
5. Step 5: Solve for x
   x = 3,511,273,536/39,546
6. Step 6: Final answer
   x = 88,789.60