Finding the Third Proportional to 1,503.75 and 2,282.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,503.75 : 2,282.63 = 2,282.63 : x
2. Step 2: Convert to fraction form
   1,503.75/2,282.63 = 2,282.63/x
3. Step 3: Cross multiply
   1,503.75x = 2,282.63 × 2,282.63
4. Step 4: Simplify right side
   1,503.75x = 5,210,376.89
5. Step 5: Solve for x
   x = 5,210,376.89/1,503.75
6. Step 6: Final answer
   x = 3,464.92