Finding the Third Proportional to 1,284.61 and 1,926.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,284.61 : 1,926.28 = 1,926.28 : x
2. Step 2: Convert to fraction form
   1,284.61/1,926.28 = 1,926.28/x
3. Step 3: Cross multiply
   1,284.61x = 1,926.28 × 1,926.28
4. Step 4: Simplify right side
   1,284.61x = 3,710,559.45
5. Step 5: Solve for x
   x = 3,710,559.45/1,284.61
6. Step 6: Final answer
   x = 2,888.47