Finding the Third Proportional to 2,106 and 3,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 3,091.50 = 3,091.50 : x
2. Step 2: Convert to fraction form
   2,106/3,091.50 = 3,091.50/x
3. Step 3: Cross multiply
   2,106x = 3,091.50 × 3,091.50
4. Step 4: Simplify right side
   2,106x = 9,557,372.25
5. Step 5: Solve for x
   x = 9,557,372.25/2,106
6. Step 6: Final answer
   x = 4,538.16