Finding the Third Proportional to 1,013 and 1,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013 : 1,389.50 = 1,389.50 : x
2. Step 2: Convert to fraction form
   1,013/1,389.50 = 1,389.50/x
3. Step 3: Cross multiply
   1,013x = 1,389.50 × 1,389.50
4. Step 4: Simplify right side
   1,013x = 1,930,710.25
5. Step 5: Solve for x
   x = 1,930,710.25/1,013
6. Step 6: Final answer
   x = 1,905.93