Finding the Third Proportional to 2,881.41 and 4,348.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,881.41 : 4,348.59 = 4,348.59 : x
2. Step 2: Convert to fraction form
   2,881.41/4,348.59 = 4,348.59/x
3. Step 3: Cross multiply
   2,881.41x = 4,348.59 × 4,348.59
4. Step 4: Simplify right side
   2,881.41x = 18,910,267.60
5. Step 5: Solve for x
   x = 18,910,267.60/2,881.41
6. Step 6: Final answer
   x = 6,562.86