Finding the Third Proportional to 5,839.31 and 8,774.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,839.31 : 8,774.16 = 8,774.16 : x
2. Step 2: Convert to fraction form
   5,839.31/8,774.16 = 8,774.16/x
3. Step 3: Cross multiply
   5,839.31x = 8,774.16 × 8,774.16
4. Step 4: Simplify right side
   5,839.31x = 76,985,817.90
5. Step 5: Solve for x
   x = 76,985,817.90/5,839.31
6. Step 6: Final answer
   x = 13,184.06