Finding the Third Proportional to 12,279 and 19,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,279 : 19,573.50 = 19,573.50 : x
2. Step 2: Convert to fraction form
   12,279/19,573.50 = 19,573.50/x
3. Step 3: Cross multiply
   12,279x = 19,573.50 × 19,573.50
4. Step 4: Simplify right side
   12,279x = 383,121,902.25
5. Step 5: Solve for x
   x = 383,121,902.25/12,279
6. Step 6: Final answer
   x = 31,201.39