Finding the Third Proportional to 6,830.25 and 10,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,830.25 : 10,443.75 = 10,443.75 : x
2. Step 2: Convert to fraction form
   6,830.25/10,443.75 = 10,443.75/x
3. Step 3: Cross multiply
   6,830.25x = 10,443.75 × 10,443.75
4. Step 4: Simplify right side
   6,830.25x = 109,071,914.06
5. Step 5: Solve for x
   x = 109,071,914.06/6,830.25
6. Step 6: Final answer
   x = 15,968.95