Finding the Third Proportional to 1,696 and 1,916

Step by Step Solution

1. Step 1: Write the proportion equation
   1,696 : 1,916 = 1,916 : x
2. Step 2: Convert to fraction form
   1,696/1,916 = 1,916/x
3. Step 3: Cross multiply
   1,696x = 1,916 × 1,916
4. Step 4: Simplify right side
   1,696x = 3,671,056
5. Step 5: Solve for x
   x = 3,671,056/1,696
6. Step 6: Final answer
   x = 2,164.54