Finding the Third Proportional to 21,680 and 32,404

Step by Step Solution

1. Step 1: Write the proportion equation
   21,680 : 32,404 = 32,404 : x
2. Step 2: Convert to fraction form
   21,680/32,404 = 32,404/x
3. Step 3: Cross multiply
   21,680x = 32,404 × 32,404
4. Step 4: Simplify right side
   21,680x = 1,050,019,216
5. Step 5: Solve for x
   x = 1,050,019,216/21,680
6. Step 6: Final answer
   x = 48,432.62