Finding the Third Proportional to 1,039.50 and 2,262.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,039.50 : 2,262.94 = 2,262.94 : x
2. Step 2: Convert to fraction form
   1,039.50/2,262.94 = 2,262.94/x
3. Step 3: Cross multiply
   1,039.50x = 2,262.94 × 2,262.94
4. Step 4: Simplify right side
   1,039.50x = 5,120,886.13
5. Step 5: Solve for x
   x = 5,120,886.13/1,039.50
6. Step 6: Final answer
   x = 4,926.30