Finding the Third Proportional to 6,837 and 10,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,837 : 10,825.50 = 10,825.50 : x
2. Step 2: Convert to fraction form
   6,837/10,825.50 = 10,825.50/x
3. Step 3: Cross multiply
   6,837x = 10,825.50 × 10,825.50
4. Step 4: Simplify right side
   6,837x = 117,191,450.25
5. Step 5: Solve for x
   x = 117,191,450.25/6,837
6. Step 6: Final answer
   x = 17,140.77