Finding the Third Proportional to 1,469.25 and 3,211.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,469.25 : 3,211.88 = 3,211.88 : x
2. Step 2: Convert to fraction form
   1,469.25/3,211.88 = 3,211.88/x
3. Step 3: Cross multiply
   1,469.25x = 3,211.88 × 3,211.88
4. Step 4: Simplify right side
   1,469.25x = 10,316,141.02
5. Step 5: Solve for x
   x = 10,316,141.02/1,469.25
6. Step 6: Final answer
   x = 7,021.37