Finding the Third Proportional to 6,958 and 10,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,958 : 10,775.50 = 10,775.50 : x
2. Step 2: Convert to fraction form
   6,958/10,775.50 = 10,775.50/x
3. Step 3: Cross multiply
   6,958x = 10,775.50 × 10,775.50
4. Step 4: Simplify right side
   6,958x = 116,111,400.25
5. Step 5: Solve for x
   x = 116,111,400.25/6,958
6. Step 6: Final answer
   x = 16,687.47