Finding the Third Proportional to 5,131.50 and 7,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,131.50 : 7,258.50 = 7,258.50 : x
2. Step 2: Convert to fraction form
   5,131.50/7,258.50 = 7,258.50/x
3. Step 3: Cross multiply
   5,131.50x = 7,258.50 × 7,258.50
4. Step 4: Simplify right side
   5,131.50x = 52,685,822.25
5. Step 5: Solve for x
   x = 52,685,822.25/5,131.50
6. Step 6: Final answer
   x = 10,267.14