Finding the Third Proportional to 1,093.50 and 2,288.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,093.50 : 2,288.25 = 2,288.25 : x
2. Step 2: Convert to fraction form
   1,093.50/2,288.25 = 2,288.25/x
3. Step 3: Cross multiply
   1,093.50x = 2,288.25 × 2,288.25
4. Step 4: Simplify right side
   1,093.50x = 5,236,088.06
5. Step 5: Solve for x
   x = 5,236,088.06/1,093.50
6. Step 6: Final answer
   x = 4,788.38