Finding the Third Proportional to 5,290.75 and 7,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,290.75 : 7,769.50 = 7,769.50 : x
2. Step 2: Convert to fraction form
   5,290.75/7,769.50 = 7,769.50/x
3. Step 3: Cross multiply
   5,290.75x = 7,769.50 × 7,769.50
4. Step 4: Simplify right side
   5,290.75x = 60,365,130.25
5. Step 5: Solve for x
   x = 60,365,130.25/5,290.75
6. Step 6: Final answer
   x = 11,409.56