Finding the Third Proportional to 12,181.50 and 18,683.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,181.50 : 18,683.75 = 18,683.75 : x
2. Step 2: Convert to fraction form
   12,181.50/18,683.75 = 18,683.75/x
3. Step 3: Cross multiply
   12,181.50x = 18,683.75 × 18,683.75
4. Step 4: Simplify right side
   12,181.50x = 349,082,514.06
5. Step 5: Solve for x
   x = 349,082,514.06/12,181.50
6. Step 6: Final answer
   x = 28,656.78