Finding the Third Proportional to 32,409 and 65,718

Step by Step Solution

1. Step 1: Write the proportion equation
   32,409 : 65,718 = 65,718 : x
2. Step 2: Convert to fraction form
   32,409/65,718 = 65,718/x
3. Step 3: Cross multiply
   32,409x = 65,718 × 65,718
4. Step 4: Simplify right side
   32,409x = 4,318,855,524
5. Step 5: Solve for x
   x = 4,318,855,524/32,409
6. Step 6: Final answer
   x = 133,260.99