Finding the Third Proportional to 10,460.25 and 16,238.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.25 : 16,238.25 = 16,238.25 : x
2. Step 2: Convert to fraction form
   10,460.25/16,238.25 = 16,238.25/x
3. Step 3: Cross multiply
   10,460.25x = 16,238.25 × 16,238.25
4. Step 4: Simplify right side
   10,460.25x = 263,680,763.06
5. Step 5: Solve for x
   x = 263,680,763.06/10,460.25
6. Step 6: Final answer
   x = 25,207.88