Finding the Third Proportional to 2,677 and 5,878.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,677 : 5,878.25 = 5,878.25 : x
2. Step 2: Convert to fraction form
   2,677/5,878.25 = 5,878.25/x
3. Step 3: Cross multiply
   2,677x = 5,878.25 × 5,878.25
4. Step 4: Simplify right side
   2,677x = 34,553,823.06
5. Step 5: Solve for x
   x = 34,553,823.06/2,677
6. Step 6: Final answer
   x = 12,907.67