Finding the Third Proportional to 5,789.25 and 8,969.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,789.25 : 8,969.88 = 8,969.88 : x
2. Step 2: Convert to fraction form
   5,789.25/8,969.88 = 8,969.88/x
3. Step 3: Cross multiply
   5,789.25x = 8,969.88 × 8,969.88
4. Step 4: Simplify right side
   5,789.25x = 80,458,657.52
5. Step 5: Solve for x
   x = 80,458,657.52/5,789.25
6. Step 6: Final answer
   x = 13,897.94