Finding the Third Proportional to 32,040 and 65,646

Step by Step Solution

1. Step 1: Write the proportion equation
   32,040 : 65,646 = 65,646 : x
2. Step 2: Convert to fraction form
   32,040/65,646 = 65,646/x
3. Step 3: Cross multiply
   32,040x = 65,646 × 65,646
4. Step 4: Simplify right side
   32,040x = 4,309,397,316
5. Step 5: Solve for x
   x = 4,309,397,316/32,040
6. Step 6: Final answer
   x = 134,500.54