Finding the Third Proportional to 1,135.50 and 1,736.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,135.50 : 1,736.25 = 1,736.25 : x
2. Step 2: Convert to fraction form
   1,135.50/1,736.25 = 1,736.25/x
3. Step 3: Cross multiply
   1,135.50x = 1,736.25 × 1,736.25
4. Step 4: Simplify right side
   1,135.50x = 3,014,564.06
5. Step 5: Solve for x
   x = 3,014,564.06/1,135.50
6. Step 6: Final answer
   x = 2,654.83