Finding the Third Proportional to 1,112.06 and 1,677.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,112.06 : 1,677.09 = 1,677.09 : x
2. Step 2: Convert to fraction form
   1,112.06/1,677.09 = 1,677.09/x
3. Step 3: Cross multiply
   1,112.06x = 1,677.09 × 1,677.09
4. Step 4: Simplify right side
   1,112.06x = 2,812,643.45
5. Step 5: Solve for x
   x = 2,812,643.45/1,112.06
6. Step 6: Final answer
   x = 2,529.21