Finding the Third Proportional to 7,825 and 10,158

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825 : 10,158 = 10,158 : x
2. Step 2: Convert to fraction form
   7,825/10,158 = 10,158/x
3. Step 3: Cross multiply
   7,825x = 10,158 × 10,158
4. Step 4: Simplify right side
   7,825x = 103,184,964
5. Step 5: Solve for x
   x = 103,184,964/7,825
6. Step 6: Final answer
   x = 13,186.58