Finding the Third Proportional to 667 and 1,068.50

Step by Step Solution

1. Step 1: Write the proportion equation
   667 : 1,068.50 = 1,068.50 : x
2. Step 2: Convert to fraction form
   667/1,068.50 = 1,068.50/x
3. Step 3: Cross multiply
   667x = 1,068.50 × 1,068.50
4. Step 4: Simplify right side
   667x = 1,141,692.25
5. Step 5: Solve for x
   x = 1,141,692.25/667
6. Step 6: Final answer
   x = 1,711.68