Finding the Third Proportional to 32,308 and 65,804

Step by Step Solution

1. Step 1: Write the proportion equation
   32,308 : 65,804 = 65,804 : x
2. Step 2: Convert to fraction form
   32,308/65,804 = 65,804/x
3. Step 3: Cross multiply
   32,308x = 65,804 × 65,804
4. Step 4: Simplify right side
   32,308x = 4,330,166,416
5. Step 5: Solve for x
   x = 4,330,166,416/32,308
6. Step 6: Final answer
   x = 134,027.68