Finding the Third Proportional to 12,459 and 19,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,459 : 19,723.50 = 19,723.50 : x
2. Step 2: Convert to fraction form
   12,459/19,723.50 = 19,723.50/x
3. Step 3: Cross multiply
   12,459x = 19,723.50 × 19,723.50
4. Step 4: Simplify right side
   12,459x = 389,016,452.25
5. Step 5: Solve for x
   x = 389,016,452.25/12,459
6. Step 6: Final answer
   x = 31,223.73