Finding the Third Proportional to 2,706.75 and 5,625.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.75 : 5,625.84 = 5,625.84 : x
2. Step 2: Convert to fraction form
   2,706.75/5,625.84 = 5,625.84/x
3. Step 3: Cross multiply
   2,706.75x = 5,625.84 × 5,625.84
4. Step 4: Simplify right side
   2,706.75x = 31,650,117.90
5. Step 5: Solve for x
   x = 31,650,117.90/2,706.75
6. Step 6: Final answer
   x = 11,693.03