Finding the Third Proportional to 6,957.50 and 10,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,957.50 : 10,774.50 = 10,774.50 : x
2. Step 2: Convert to fraction form
   6,957.50/10,774.50 = 10,774.50/x
3. Step 3: Cross multiply
   6,957.50x = 10,774.50 × 10,774.50
4. Step 4: Simplify right side
   6,957.50x = 116,089,850.25
5. Step 5: Solve for x
   x = 116,089,850.25/6,957.50
6. Step 6: Final answer
   x = 16,685.57