Finding the Third Proportional to 13,781.25 and 16,211.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,781.25 : 16,211.25 = 16,211.25 : x
2. Step 2: Convert to fraction form
   13,781.25/16,211.25 = 16,211.25/x
3. Step 3: Cross multiply
   13,781.25x = 16,211.25 × 16,211.25
4. Step 4: Simplify right side
   13,781.25x = 262,804,626.56
5. Step 5: Solve for x
   x = 262,804,626.56/13,781.25
6. Step 6: Final answer
   x = 19,069.72