Finding the Third Proportional to 21,288 and 32,380

Step by Step Solution

1. Step 1: Write the proportion equation
   21,288 : 32,380 = 32,380 : x
2. Step 2: Convert to fraction form
   21,288/32,380 = 32,380/x
3. Step 3: Cross multiply
   21,288x = 32,380 × 32,380
4. Step 4: Simplify right side
   21,288x = 1,048,464,400
5. Step 5: Solve for x
   x = 1,048,464,400/21,288
6. Step 6: Final answer
   x = 49,251.43