Finding the Third Proportional to 12,082.50 and 16,116.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,082.50 : 16,116.75 = 16,116.75 : x
2. Step 2: Convert to fraction form
   12,082.50/16,116.75 = 16,116.75/x
3. Step 3: Cross multiply
   12,082.50x = 16,116.75 × 16,116.75
4. Step 4: Simplify right side
   12,082.50x = 259,749,630.56
5. Step 5: Solve for x
   x = 259,749,630.56/12,082.50
6. Step 6: Final answer
   x = 21,498.00