Finding the Third Proportional to 7,782.75 and 10,238.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,782.75 : 10,238.06 = 10,238.06 : x
2. Step 2: Convert to fraction form
   7,782.75/10,238.06 = 10,238.06/x
3. Step 3: Cross multiply
   7,782.75x = 10,238.06 × 10,238.06
4. Step 4: Simplify right side
   7,782.75x = 104,817,923.75
5. Step 5: Solve for x
   x = 104,817,923.75/7,782.75
6. Step 6: Final answer
   x = 13,467.98