Finding the Third Proportional to 5,789.75 and 8,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,789.75 : 8,970.50 = 8,970.50 : x
2. Step 2: Convert to fraction form
   5,789.75/8,970.50 = 8,970.50/x
3. Step 3: Cross multiply
   5,789.75x = 8,970.50 × 8,970.50
4. Step 4: Simplify right side
   5,789.75x = 80,469,870.25
5. Step 5: Solve for x
   x = 80,469,870.25/5,789.75
6. Step 6: Final answer
   x = 13,898.68