Finding the Third Proportional to 2,701.75 and 5,876.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,701.75 : 5,876.88 = 5,876.88 : x
2. Step 2: Convert to fraction form
   2,701.75/5,876.88 = 5,876.88/x
3. Step 3: Cross multiply
   2,701.75x = 5,876.88 × 5,876.88
4. Step 4: Simplify right side
   2,701.75x = 34,537,659.77
5. Step 5: Solve for x
   x = 34,537,659.77/2,701.75
6. Step 6: Final answer
   x = 12,783.44