Finding the Third Proportional to 7,941 and 10,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,941 : 10,315.50 = 10,315.50 : x
2. Step 2: Convert to fraction form
   7,941/10,315.50 = 10,315.50/x
3. Step 3: Cross multiply
   7,941x = 10,315.50 × 10,315.50
4. Step 4: Simplify right side
   7,941x = 106,409,540.25
5. Step 5: Solve for x
   x = 106,409,540.25/7,941
6. Step 6: Final answer
   x = 13,400.02