Finding the Third Proportional to 12,302.50 and 19,584.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,302.50 : 19,584.75 = 19,584.75 : x
2. Step 2: Convert to fraction form
   12,302.50/19,584.75 = 19,584.75/x
3. Step 3: Cross multiply
   12,302.50x = 19,584.75 × 19,584.75
4. Step 4: Simplify right side
   12,302.50x = 383,562,432.56
5. Step 5: Solve for x
   x = 383,562,432.56/12,302.50
6. Step 6: Final answer
   x = 31,177.60