Finding the Third Proportional to 21,049 and 32,180

Step by Step Solution

1. Step 1: Write the proportion equation
   21,049 : 32,180 = 32,180 : x
2. Step 2: Convert to fraction form
   21,049/32,180 = 32,180/x
3. Step 3: Cross multiply
   21,049x = 32,180 × 32,180
4. Step 4: Simplify right side
   21,049x = 1,035,552,400
5. Step 5: Solve for x
   x = 1,035,552,400/21,049
6. Step 6: Final answer
   x = 49,197.23