Finding the Third Proportional to 1,233.94 and 1,696.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.94 : 1,696.41 = 1,696.41 : x
2. Step 2: Convert to fraction form
   1,233.94/1,696.41 = 1,696.41/x
3. Step 3: Cross multiply
   1,233.94x = 1,696.41 × 1,696.41
4. Step 4: Simplify right side
   1,233.94x = 2,877,794.17
5. Step 5: Solve for x
   x = 2,877,794.17/1,233.94
6. Step 6: Final answer
   x = 2,332.20