Finding the Third Proportional to 492.25 and 1,071.25

Step by Step Solution

1. Step 1: Write the proportion equation
   492.25 : 1,071.25 = 1,071.25 : x
2. Step 2: Convert to fraction form
   492.25/1,071.25 = 1,071.25/x
3. Step 3: Cross multiply
   492.25x = 1,071.25 × 1,071.25
4. Step 4: Simplify right side
   492.25x = 1,147,576.56
5. Step 5: Solve for x
   x = 1,147,576.56/492.25
6. Step 6: Final answer
   x = 2,331.29