Finding the Third Proportional to 10,459.69 and 14,629.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.69 : 14,629.78 = 14,629.78 : x
2. Step 2: Convert to fraction form
   10,459.69/14,629.78 = 14,629.78/x
3. Step 3: Cross multiply
   10,459.69x = 14,629.78 × 14,629.78
4. Step 4: Simplify right side
   10,459.69x = 214,030,499.42
5. Step 5: Solve for x
   x = 214,030,499.42/10,459.69
6. Step 6: Final answer
   x = 20,462.42