Finding the Third Proportional to 31,529 and 65,980

Step by Step Solution

1. Step 1: Write the proportion equation
   31,529 : 65,980 = 65,980 : x
2. Step 2: Convert to fraction form
   31,529/65,980 = 65,980/x
3. Step 3: Cross multiply
   31,529x = 65,980 × 65,980
4. Step 4: Simplify right side
   31,529x = 4,353,360,400
5. Step 5: Solve for x
   x = 4,353,360,400/31,529
6. Step 6: Final answer
   x = 138,074.80