Finding the Third Proportional to 6,288 and 12,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,288 : 12,751.50 = 12,751.50 : x
2. Step 2: Convert to fraction form
   6,288/12,751.50 = 12,751.50/x
3. Step 3: Cross multiply
   6,288x = 12,751.50 × 12,751.50
4. Step 4: Simplify right side
   6,288x = 162,600,752.25
5. Step 5: Solve for x
   x = 162,600,752.25/6,288
6. Step 6: Final answer
   x = 25,858.90