Finding the Third Proportional to 28,256 and 65,696

Step by Step Solution

1. Step 1: Write the proportion equation
   28,256 : 65,696 = 65,696 : x
2. Step 2: Convert to fraction form
   28,256/65,696 = 65,696/x
3. Step 3: Cross multiply
   28,256x = 65,696 × 65,696
4. Step 4: Simplify right side
   28,256x = 4,315,964,416
5. Step 5: Solve for x
   x = 4,315,964,416/28,256
6. Step 6: Final answer
   x = 152,745.06