Finding the Third Proportional to 1,091 and 1,616

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091 : 1,616 = 1,616 : x
2. Step 2: Convert to fraction form
   1,091/1,616 = 1,616/x
3. Step 3: Cross multiply
   1,091x = 1,616 × 1,616
4. Step 4: Simplify right side
   1,091x = 2,611,456
5. Step 5: Solve for x
   x = 2,611,456/1,091
6. Step 6: Final answer
   x = 2,393.64