Finding the Third Proportional to 3,818.50 and 5,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,818.50 : 5,781.50 = 5,781.50 : x
2. Step 2: Convert to fraction form
   3,818.50/5,781.50 = 5,781.50/x
3. Step 3: Cross multiply
   3,818.50x = 5,781.50 × 5,781.50
4. Step 4: Simplify right side
   3,818.50x = 33,425,742.25
5. Step 5: Solve for x
   x = 33,425,742.25/3,818.50
6. Step 6: Final answer
   x = 8,753.63