Finding the Third Proportional to 2,402.50 and 5,189

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.50 : 5,189 = 5,189 : x
2. Step 2: Convert to fraction form
   2,402.50/5,189 = 5,189/x
3. Step 3: Cross multiply
   2,402.50x = 5,189 × 5,189
4. Step 4: Simplify right side
   2,402.50x = 26,925,721
5. Step 5: Solve for x
   x = 26,925,721/2,402.50
6. Step 6: Final answer
   x = 11,207.38