Finding the Third Proportional to 2,152.13 and 5,105.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.13 : 5,105.81 = 5,105.81 : x
2. Step 2: Convert to fraction form
   2,152.13/5,105.81 = 5,105.81/x
3. Step 3: Cross multiply
   2,152.13x = 5,105.81 × 5,105.81
4. Step 4: Simplify right side
   2,152.13x = 26,069,321.29
5. Step 5: Solve for x
   x = 26,069,321.29/2,152.13
6. Step 6: Final answer
   x = 12,113.29