Finding the Third Proportional to 3,876.38 and 5,536.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,876.38 : 5,536.13 = 5,536.13 : x
2. Step 2: Convert to fraction form
   3,876.38/5,536.13 = 5,536.13/x
3. Step 3: Cross multiply
   3,876.38x = 5,536.13 × 5,536.13
4. Step 4: Simplify right side
   3,876.38x = 30,648,680.02
5. Step 5: Solve for x
   x = 30,648,680.02/3,876.38
6. Step 6: Final answer
   x = 7,906.53