Finding the Third Proportional to 1,515.50 and 2,264.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,515.50 : 2,264.75 = 2,264.75 : x
2. Step 2: Convert to fraction form
   1,515.50/2,264.75 = 2,264.75/x
3. Step 3: Cross multiply
   1,515.50x = 2,264.75 × 2,264.75
4. Step 4: Simplify right side
   1,515.50x = 5,129,092.56
5. Step 5: Solve for x
   x = 5,129,092.56/1,515.50
6. Step 6: Final answer
   x = 3,384.42