Finding the Third Proportional to 2,089.88 and 2,774.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.88 : 2,774.25 = 2,774.25 : x
2. Step 2: Convert to fraction form
   2,089.88/2,774.25 = 2,774.25/x
3. Step 3: Cross multiply
   2,089.88x = 2,774.25 × 2,774.25
4. Step 4: Simplify right side
   2,089.88x = 7,696,463.06
5. Step 5: Solve for x
   x = 7,696,463.06/2,089.88
6. Step 6: Final answer
   x = 3,682.74