Finding the Third Proportional to 12,178.50 and 16,284.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,178.50 : 16,284.75 = 16,284.75 : x
2. Step 2: Convert to fraction form
   12,178.50/16,284.75 = 16,284.75/x
3. Step 3: Cross multiply
   12,178.50x = 16,284.75 × 16,284.75
4. Step 4: Simplify right side
   12,178.50x = 265,193,082.56
5. Step 5: Solve for x
   x = 265,193,082.56/12,178.50
6. Step 6: Final answer
   x = 21,775.51