Finding the Third Proportional to 5,748.50 and 9,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,748.50 : 9,221.50 = 9,221.50 : x
2. Step 2: Convert to fraction form
   5,748.50/9,221.50 = 9,221.50/x
3. Step 3: Cross multiply
   5,748.50x = 9,221.50 × 9,221.50
4. Step 4: Simplify right side
   5,748.50x = 85,036,062.25
5. Step 5: Solve for x
   x = 85,036,062.25/5,748.50
6. Step 6: Final answer
   x = 14,792.74