Finding the Third Proportional to 667.50 and 1,146

Step by Step Solution

1. Step 1: Write the proportion equation
   667.50 : 1,146 = 1,146 : x
2. Step 2: Convert to fraction form
   667.50/1,146 = 1,146/x
3. Step 3: Cross multiply
   667.50x = 1,146 × 1,146
4. Step 4: Simplify right side
   667.50x = 1,313,316
5. Step 5: Solve for x
   x = 1,313,316/667.50
6. Step 6: Final answer
   x = 1,967.51