Finding the Third Proportional to 12,991.50 and 19,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,991.50 : 19,582.50 = 19,582.50 : x
2. Step 2: Convert to fraction form
   12,991.50/19,582.50 = 19,582.50/x
3. Step 3: Cross multiply
   12,991.50x = 19,582.50 × 19,582.50
4. Step 4: Simplify right side
   12,991.50x = 383,474,306.25
5. Step 5: Solve for x
   x = 383,474,306.25/12,991.50
6. Step 6: Final answer
   x = 29,517.32