Finding the Third Proportional to 21,878 and 32,355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,878 : 32,355.50 = 32,355.50 : x
2. Step 2: Convert to fraction form
   21,878/32,355.50 = 32,355.50/x
3. Step 3: Cross multiply
   21,878x = 32,355.50 × 32,355.50
4. Step 4: Simplify right side
   21,878x = 1,046,878,380.25
5. Step 5: Solve for x
   x = 1,046,878,380.25/21,878
6. Step 6: Final answer
   x = 47,850.73