Finding the Third Proportional to 1,066.50 and 1,299.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.50 : 1,299.38 = 1,299.38 : x
2. Step 2: Convert to fraction form
   1,066.50/1,299.38 = 1,299.38/x
3. Step 3: Cross multiply
   1,066.50x = 1,299.38 × 1,299.38
4. Step 4: Simplify right side
   1,066.50x = 1,688,375.39
5. Step 5: Solve for x
   x = 1,688,375.39/1,066.50
6. Step 6: Final answer
   x = 1,583.10