Finding the Third Proportional to 5,116.50 and 7,823.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.50 : 7,823.25 = 7,823.25 : x
2. Step 2: Convert to fraction form
   5,116.50/7,823.25 = 7,823.25/x
3. Step 3: Cross multiply
   5,116.50x = 7,823.25 × 7,823.25
4. Step 4: Simplify right side
   5,116.50x = 61,203,240.56
5. Step 5: Solve for x
   x = 61,203,240.56/5,116.50
6. Step 6: Final answer
   x = 11,961.94