Finding the Third Proportional to 12,183.75 and 21,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,183.75 : 21,478.50 = 21,478.50 : x
2. Step 2: Convert to fraction form
   12,183.75/21,478.50 = 21,478.50/x
3. Step 3: Cross multiply
   12,183.75x = 21,478.50 × 21,478.50
4. Step 4: Simplify right side
   12,183.75x = 461,325,962.25
5. Step 5: Solve for x
   x = 461,325,962.25/12,183.75
6. Step 6: Final answer
   x = 37,864.04