Finding the Third Proportional to 2,512.69 and 3,834.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,512.69 : 3,834.84 = 3,834.84 : x
2. Step 2: Convert to fraction form
   2,512.69/3,834.84 = 3,834.84/x
3. Step 3: Cross multiply
   2,512.69x = 3,834.84 × 3,834.84
4. Step 4: Simplify right side
   2,512.69x = 14,706,026.59
5. Step 5: Solve for x
   x = 14,706,026.59/2,512.69
6. Step 6: Final answer
   x = 5,852.71