Finding the Third Proportional to 726.69 and 1,111.84

Step by Step Solution

1. Step 1: Write the proportion equation
   726.69 : 1,111.84 = 1,111.84 : x
2. Step 2: Convert to fraction form
   726.69/1,111.84 = 1,111.84/x
3. Step 3: Cross multiply
   726.69x = 1,111.84 × 1,111.84
4. Step 4: Simplify right side
   726.69x = 1,236,196.52
5. Step 5: Solve for x
   x = 1,236,196.52/726.69
6. Step 6: Final answer
   x = 1,701.14