Finding the Third Proportional to 5,751.50 and 8,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,751.50 : 8,672.50 = 8,672.50 : x
2. Step 2: Convert to fraction form
   5,751.50/8,672.50 = 8,672.50/x
3. Step 3: Cross multiply
   5,751.50x = 8,672.50 × 8,672.50
4. Step 4: Simplify right side
   5,751.50x = 75,212,256.25
5. Step 5: Solve for x
   x = 75,212,256.25/5,751.50
6. Step 6: Final answer
   x = 13,076.98