Finding the Third Proportional to 32,256 and 69,279

Step by Step Solution

1. Step 1: Write the proportion equation
   32,256 : 69,279 = 69,279 : x
2. Step 2: Convert to fraction form
   32,256/69,279 = 69,279/x
3. Step 3: Cross multiply
   32,256x = 69,279 × 69,279
4. Step 4: Simplify right side
   32,256x = 4,799,579,841
5. Step 5: Solve for x
   x = 4,799,579,841/32,256
6. Step 6: Final answer
   x = 148,796.50