Finding the Third Proportional to 1,629.50 and 1,796

Step by Step Solution

1. Step 1: Write the proportion equation
   1,629.50 : 1,796 = 1,796 : x
2. Step 2: Convert to fraction form
   1,629.50/1,796 = 1,796/x
3. Step 3: Cross multiply
   1,629.50x = 1,796 × 1,796
4. Step 4: Simplify right side
   1,629.50x = 3,225,616
5. Step 5: Solve for x
   x = 3,225,616/1,629.50
6. Step 6: Final answer
   x = 1,979.51