Finding the Third Proportional to 21,649 and 32,386

Step by Step Solution

1. Step 1: Write the proportion equation
   21,649 : 32,386 = 32,386 : x
2. Step 2: Convert to fraction form
   21,649/32,386 = 32,386/x
3. Step 3: Cross multiply
   21,649x = 32,386 × 32,386
4. Step 4: Simplify right side
   21,649x = 1,048,852,996
5. Step 5: Solve for x
   x = 1,048,852,996/21,649
6. Step 6: Final answer
   x = 48,448.10