Finding the Third Proportional to 1,500.19 and 2,284.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500.19 : 2,284.59 = 2,284.59 : x
2. Step 2: Convert to fraction form
   1,500.19/2,284.59 = 2,284.59/x
3. Step 3: Cross multiply
   1,500.19x = 2,284.59 × 2,284.59
4. Step 4: Simplify right side
   1,500.19x = 5,219,368.60
5. Step 5: Solve for x
   x = 5,219,368.60/1,500.19
6. Step 6: Final answer
   x = 3,479.14