Finding the Third Proportional to 32,157 and 65,286

Step by Step Solution

1. Step 1: Write the proportion equation
   32,157 : 65,286 = 65,286 : x
2. Step 2: Convert to fraction form
   32,157/65,286 = 65,286/x
3. Step 3: Cross multiply
   32,157x = 65,286 × 65,286
4. Step 4: Simplify right side
   32,157x = 4,262,261,796
5. Step 5: Solve for x
   x = 4,262,261,796/32,157
6. Step 6: Final answer
   x = 132,545.38