Finding the Third Proportional to 9,082.50 and 14,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,082.50 : 14,028.50 = 14,028.50 : x
2. Step 2: Convert to fraction form
   9,082.50/14,028.50 = 14,028.50/x
3. Step 3: Cross multiply
   9,082.50x = 14,028.50 × 14,028.50
4. Step 4: Simplify right side
   9,082.50x = 196,798,812.25
5. Step 5: Solve for x
   x = 196,798,812.25/9,082.50
6. Step 6: Final answer
   x = 21,667.91