Finding the Third Proportional to 7,539.75 and 10,819.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,539.75 : 10,819.69 = 10,819.69 : x
2. Step 2: Convert to fraction form
   7,539.75/10,819.69 = 10,819.69/x
3. Step 3: Cross multiply
   7,539.75x = 10,819.69 × 10,819.69
4. Step 4: Simplify right side
   7,539.75x = 117,065,637.60
5. Step 5: Solve for x
   x = 117,065,637.60/7,539.75
6. Step 6: Final answer
   x = 15,526.46