Finding the Third Proportional to 9,830.25 and 13,763.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.25 : 13,763.25 = 13,763.25 : x
2. Step 2: Convert to fraction form
   9,830.25/13,763.25 = 13,763.25/x
3. Step 3: Cross multiply
   9,830.25x = 13,763.25 × 13,763.25
4. Step 4: Simplify right side
   9,830.25x = 189,427,050.56
5. Step 5: Solve for x
   x = 189,427,050.56/9,830.25
6. Step 6: Final answer
   x = 19,269.81