Finding the Third Proportional to 32,080 and 65,419

Step by Step Solution

1. Step 1: Write the proportion equation
   32,080 : 65,419 = 65,419 : x
2. Step 2: Convert to fraction form
   32,080/65,419 = 65,419/x
3. Step 3: Cross multiply
   32,080x = 65,419 × 65,419
4. Step 4: Simplify right side
   32,080x = 4,279,645,561
5. Step 5: Solve for x
   x = 4,279,645,561/32,080
6. Step 6: Final answer
   x = 133,405.41