Finding the Third Proportional to 3,761.16 and 5,820.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,761.16 : 5,820.81 = 5,820.81 : x
2. Step 2: Convert to fraction form
   3,761.16/5,820.81 = 5,820.81/x
3. Step 3: Cross multiply
   3,761.16x = 5,820.81 × 5,820.81
4. Step 4: Simplify right side
   3,761.16x = 33,881,858.16
5. Step 5: Solve for x
   x = 33,881,858.16/3,761.16
6. Step 6: Final answer
   x = 9,008.36