Finding the Third Proportional to 10,624.50 and 19,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624.50 : 19,723.50 = 19,723.50 : x
2. Step 2: Convert to fraction form
   10,624.50/19,723.50 = 19,723.50/x
3. Step 3: Cross multiply
   10,624.50x = 19,723.50 × 19,723.50
4. Step 4: Simplify right side
   10,624.50x = 389,016,452.25
5. Step 5: Solve for x
   x = 389,016,452.25/10,624.50
6. Step 6: Final answer
   x = 36,615.04