Finding the Third Proportional to 2,268 and 5,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,268 : 5,407.50 = 5,407.50 : x
2. Step 2: Convert to fraction form
   2,268/5,407.50 = 5,407.50/x
3. Step 3: Cross multiply
   2,268x = 5,407.50 × 5,407.50
4. Step 4: Simplify right side
   2,268x = 29,241,056.25
5. Step 5: Solve for x
   x = 29,241,056.25/2,268
6. Step 6: Final answer
   x = 12,892.88