Finding the Third Proportional to 838.69 and 1,267.31

Step by Step Solution

1. Step 1: Write the proportion equation
   838.69 : 1,267.31 = 1,267.31 : x
2. Step 2: Convert to fraction form
   838.69/1,267.31 = 1,267.31/x
3. Step 3: Cross multiply
   838.69x = 1,267.31 × 1,267.31
4. Step 4: Simplify right side
   838.69x = 1,606,080.97
5. Step 5: Solve for x
   x = 1,606,080.97/838.69
6. Step 6: Final answer
   x = 1,914.99