Finding the Third Proportional to 1,105.13 and 2,429.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.13 : 2,429.63 = 2,429.63 : x
2. Step 2: Convert to fraction form
   1,105.13/2,429.63 = 2,429.63/x
3. Step 3: Cross multiply
   1,105.13x = 2,429.63 × 2,429.63
4. Step 4: Simplify right side
   1,105.13x = 5,903,077.64
5. Step 5: Solve for x
   x = 5,903,077.64/1,105.13
6. Step 6: Final answer
   x = 5,341.55