Finding the Third Proportional to 1,111.75 and 1,721.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.75 : 1,721.63 = 1,721.63 : x
2. Step 2: Convert to fraction form
   1,111.75/1,721.63 = 1,721.63/x
3. Step 3: Cross multiply
   1,111.75x = 1,721.63 × 1,721.63
4. Step 4: Simplify right side
   1,111.75x = 2,963,992.64
5. Step 5: Solve for x
   x = 2,963,992.64/1,111.75
6. Step 6: Final answer
   x = 2,666.06