Finding the Third Proportional to 12,849 and 19,888.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,849 : 19,888.50 = 19,888.50 : x
2. Step 2: Convert to fraction form
   12,849/19,888.50 = 19,888.50/x
3. Step 3: Cross multiply
   12,849x = 19,888.50 × 19,888.50
4. Step 4: Simplify right side
   12,849x = 395,552,432.25
5. Step 5: Solve for x
   x = 395,552,432.25/12,849
6. Step 6: Final answer
   x = 30,784.69