Finding the Third Proportional to 32,256 and 65,808

Step by Step Solution

1. Step 1: Write the proportion equation
   32,256 : 65,808 = 65,808 : x
2. Step 2: Convert to fraction form
   32,256/65,808 = 65,808/x
3. Step 3: Cross multiply
   32,256x = 65,808 × 65,808
4. Step 4: Simplify right side
   32,256x = 4,330,692,864
5. Step 5: Solve for x
   x = 4,330,692,864/32,256
6. Step 6: Final answer
   x = 134,260.07