Finding the Third Proportional to 32,069 and 65,731

Step by Step Solution

1. Step 1: Write the proportion equation
   32,069 : 65,731 = 65,731 : x
2. Step 2: Convert to fraction form
   32,069/65,731 = 65,731/x
3. Step 3: Cross multiply
   32,069x = 65,731 × 65,731
4. Step 4: Simplify right side
   32,069x = 4,320,564,361
5. Step 5: Solve for x
   x = 4,320,564,361/32,069
6. Step 6: Final answer
   x = 134,727.13