Finding the Third Proportional to 20,880 and 32,049

Step by Step Solution

1. Step 1: Write the proportion equation
   20,880 : 32,049 = 32,049 : x
2. Step 2: Convert to fraction form
   20,880/32,049 = 32,049/x
3. Step 3: Cross multiply
   20,880x = 32,049 × 32,049
4. Step 4: Simplify right side
   20,880x = 1,027,138,401
5. Step 5: Solve for x
   x = 1,027,138,401/20,880
6. Step 6: Final answer
   x = 49,192.45