Finding the Third Proportional to 5,123.25 and 7,958.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,123.25 : 7,958.25 = 7,958.25 : x
2. Step 2: Convert to fraction form
   5,123.25/7,958.25 = 7,958.25/x
3. Step 3: Cross multiply
   5,123.25x = 7,958.25 × 7,958.25
4. Step 4: Simplify right side
   5,123.25x = 63,333,743.06
5. Step 5: Solve for x
   x = 63,333,743.06/5,123.25
6. Step 6: Final answer
   x = 12,362.02