Finding the Third Proportional to 7,719 and 10,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,719 : 10,459.50 = 10,459.50 : x
2. Step 2: Convert to fraction form
   7,719/10,459.50 = 10,459.50/x
3. Step 3: Cross multiply
   7,719x = 10,459.50 × 10,459.50
4. Step 4: Simplify right side
   7,719x = 109,401,140.25
5. Step 5: Solve for x
   x = 109,401,140.25/7,719
6. Step 6: Final answer
   x = 14,172.97