Finding the Third Proportional to 2,091 and 3,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091 : 3,242.50 = 3,242.50 : x
2. Step 2: Convert to fraction form
   2,091/3,242.50 = 3,242.50/x
3. Step 3: Cross multiply
   2,091x = 3,242.50 × 3,242.50
4. Step 4: Simplify right side
   2,091x = 10,513,806.25
5. Step 5: Solve for x
   x = 10,513,806.25/2,091
6. Step 6: Final answer
   x = 5,028.12