Finding the Third Proportional to 1,105.13 and 1,554.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.13 : 1,554.56 = 1,554.56 : x
2. Step 2: Convert to fraction form
   1,105.13/1,554.56 = 1,554.56/x
3. Step 3: Cross multiply
   1,105.13x = 1,554.56 × 1,554.56
4. Step 4: Simplify right side
   1,105.13x = 2,416,664.57
5. Step 5: Solve for x
   x = 2,416,664.57/1,105.13
6. Step 6: Final answer
   x = 2,186.78