Finding the Third Proportional to 1,269 and 1,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269 : 1,369.50 = 1,369.50 : x
2. Step 2: Convert to fraction form
   1,269/1,369.50 = 1,369.50/x
3. Step 3: Cross multiply
   1,269x = 1,369.50 × 1,369.50
4. Step 4: Simplify right side
   1,269x = 1,875,530.25
5. Step 5: Solve for x
   x = 1,875,530.25/1,269
6. Step 6: Final answer
   x = 1,477.96