Finding the Third Proportional to 7,229 and 10,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,229 : 10,857.50 = 10,857.50 : x
2. Step 2: Convert to fraction form
   7,229/10,857.50 = 10,857.50/x
3. Step 3: Cross multiply
   7,229x = 10,857.50 × 10,857.50
4. Step 4: Simplify right side
   7,229x = 117,885,306.25
5. Step 5: Solve for x
   x = 117,885,306.25/7,229
6. Step 6: Final answer
   x = 16,307.28