Finding the Third Proportional to 2,309 and 2,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,309 : 2,921.50 = 2,921.50 : x
2. Step 2: Convert to fraction form
   2,309/2,921.50 = 2,921.50/x
3. Step 3: Cross multiply
   2,309x = 2,921.50 × 2,921.50
4. Step 4: Simplify right side
   2,309x = 8,535,162.25
5. Step 5: Solve for x
   x = 8,535,162.25/2,309
6. Step 6: Final answer
   x = 3,696.48