Finding the Third Proportional to 1,159.88 and 1,418.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.88 : 1,418.06 = 1,418.06 : x
2. Step 2: Convert to fraction form
   1,159.88/1,418.06 = 1,418.06/x
3. Step 3: Cross multiply
   1,159.88x = 1,418.06 × 1,418.06
4. Step 4: Simplify right side
   1,159.88x = 2,010,901.25
5. Step 5: Solve for x
   x = 2,010,901.25/1,159.88
6. Step 6: Final answer
   x = 1,733.72