Finding the Third Proportional to 5,645 and 12,262

Step by Step Solution

1. Step 1: Write the proportion equation
   5,645 : 12,262 = 12,262 : x
2. Step 2: Convert to fraction form
   5,645/12,262 = 12,262/x
3. Step 3: Cross multiply
   5,645x = 12,262 × 12,262
4. Step 4: Simplify right side
   5,645x = 150,356,644
5. Step 5: Solve for x
   x = 150,356,644/5,645
6. Step 6: Final answer
   x = 26,635.37