Finding the Third Proportional to 7,826 and 10,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826 : 10,159.50 = 10,159.50 : x
2. Step 2: Convert to fraction form
   7,826/10,159.50 = 10,159.50/x
3. Step 3: Cross multiply
   7,826x = 10,159.50 × 10,159.50
4. Step 4: Simplify right side
   7,826x = 103,215,440.25
5. Step 5: Solve for x
   x = 103,215,440.25/7,826
6. Step 6: Final answer
   x = 13,188.79