Finding the Third Proportional to 12,584.50 and 19,992.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584.50 : 19,992.75 = 19,992.75 : x
2. Step 2: Convert to fraction form
   12,584.50/19,992.75 = 19,992.75/x
3. Step 3: Cross multiply
   12,584.50x = 19,992.75 × 19,992.75
4. Step 4: Simplify right side
   12,584.50x = 399,710,052.56
5. Step 5: Solve for x
   x = 399,710,052.56/12,584.50
6. Step 6: Final answer
   x = 31,762.09