Finding the Third Proportional to 20,960 and 32,536

Step by Step Solution

1. Step 1: Write the proportion equation
   20,960 : 32,536 = 32,536 : x
2. Step 2: Convert to fraction form
   20,960/32,536 = 32,536/x
3. Step 3: Cross multiply
   20,960x = 32,536 × 32,536
4. Step 4: Simplify right side
   20,960x = 1,058,591,296
5. Step 5: Solve for x
   x = 1,058,591,296/20,960
6. Step 6: Final answer
   x = 50,505.31