Finding the Third Proportional to 5,830.31 and 8,116.03

Step by Step Solution

1. Step 1: Write the proportion equation
   5,830.31 : 8,116.03 = 8,116.03 : x
2. Step 2: Convert to fraction form
   5,830.31/8,116.03 = 8,116.03/x
3. Step 3: Cross multiply
   5,830.31x = 8,116.03 × 8,116.03
4. Step 4: Simplify right side
   5,830.31x = 65,869,963.25
5. Step 5: Solve for x
   x = 65,869,963.25/5,830.31
6. Step 6: Final answer
   x = 11,297.84