Finding the Third Proportional to 2,389.50 and 5,113.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,389.50 : 5,113.13 = 5,113.13 : x
2. Step 2: Convert to fraction form
   2,389.50/5,113.13 = 5,113.13/x
3. Step 3: Cross multiply
   2,389.50x = 5,113.13 × 5,113.13
4. Step 4: Simplify right side
   2,389.50x = 26,144,047.27
5. Step 5: Solve for x
   x = 26,144,047.27/2,389.50
6. Step 6: Final answer
   x = 10,941.22