Finding the Third Proportional to 2,363.34 and 5,188.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,363.34 : 5,188.22 = 5,188.22 : x
2. Step 2: Convert to fraction form
   2,363.34/5,188.22 = 5,188.22/x
3. Step 3: Cross multiply
   2,363.34x = 5,188.22 × 5,188.22
4. Step 4: Simplify right side
   2,363.34x = 26,917,613.80
5. Step 5: Solve for x
   x = 26,917,613.80/2,363.34
6. Step 6: Final answer
   x = 11,389.63