Finding the Third Proportional to 21,636 and 32,454

Step by Step Solution

1. Step 1: Write the proportion equation
   21,636 : 32,454 = 32,454 : x
2. Step 2: Convert to fraction form
   21,636/32,454 = 32,454/x
3. Step 3: Cross multiply
   21,636x = 32,454 × 32,454
4. Step 4: Simplify right side
   21,636x = 1,053,262,116
5. Step 5: Solve for x
   x = 1,053,262,116/21,636
6. Step 6: Final answer
   x = 48,681