Finding the Third Proportional to 12,927 and 19,766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,927 : 19,766.25 = 19,766.25 : x
2. Step 2: Convert to fraction form
   12,927/19,766.25 = 19,766.25/x
3. Step 3: Cross multiply
   12,927x = 19,766.25 × 19,766.25
4. Step 4: Simplify right side
   12,927x = 390,704,639.06
5. Step 5: Solve for x
   x = 390,704,639.06/12,927
6. Step 6: Final answer
   x = 30,223.92