Finding the Third Proportional to 5,748.75 and 8,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,748.75 : 8,572.50 = 8,572.50 : x
2. Step 2: Convert to fraction form
   5,748.75/8,572.50 = 8,572.50/x
3. Step 3: Cross multiply
   5,748.75x = 8,572.50 × 8,572.50
4. Step 4: Simplify right side
   5,748.75x = 73,487,756.25
5. Step 5: Solve for x
   x = 73,487,756.25/5,748.75
6. Step 6: Final answer
   x = 12,783.26