Finding the Third Proportional to 1,263.94 and 1,405.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,263.94 : 1,405.69 = 1,405.69 : x
2. Step 2: Convert to fraction form
   1,263.94/1,405.69 = 1,405.69/x
3. Step 3: Cross multiply
   1,263.94x = 1,405.69 × 1,405.69
4. Step 4: Simplify right side
   1,263.94x = 1,975,957.35
5. Step 5: Solve for x
   x = 1,975,957.35/1,263.94
6. Step 6: Final answer
   x = 1,563.33