Finding the Third Proportional to 2,091 and 5,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091 : 5,671.50 = 5,671.50 : x
2. Step 2: Convert to fraction form
   2,091/5,671.50 = 5,671.50/x
3. Step 3: Cross multiply
   2,091x = 5,671.50 × 5,671.50
4. Step 4: Simplify right side
   2,091x = 32,165,912.25
5. Step 5: Solve for x
   x = 32,165,912.25/2,091
6. Step 6: Final answer
   x = 15,383.03