Finding the Third Proportional to 21,810 and 32,878

Step by Step Solution

1. Step 1: Write the proportion equation
   21,810 : 32,878 = 32,878 : x
2. Step 2: Convert to fraction form
   21,810/32,878 = 32,878/x
3. Step 3: Cross multiply
   21,810x = 32,878 × 32,878
4. Step 4: Simplify right side
   21,810x = 1,080,962,884
5. Step 5: Solve for x
   x = 1,080,962,884/21,810
6. Step 6: Final answer
   x = 49,562.72