Finding the Third Proportional to 1,084.64 and 1,515.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.64 : 1,515.59 = 1,515.59 : x
2. Step 2: Convert to fraction form
   1,084.64/1,515.59 = 1,515.59/x
3. Step 3: Cross multiply
   1,084.64x = 1,515.59 × 1,515.59
4. Step 4: Simplify right side
   1,084.64x = 2,297,000.73
5. Step 5: Solve for x
   x = 2,297,000.73/1,084.64
6. Step 6: Final answer
   x = 2,117.75