Finding the Third Proportional to 7,758 and 17,262

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758 : 17,262 = 17,262 : x
2. Step 2: Convert to fraction form
   7,758/17,262 = 17,262/x
3. Step 3: Cross multiply
   7,758x = 17,262 × 17,262
4. Step 4: Simplify right side
   7,758x = 297,976,644
5. Step 5: Solve for x
   x = 297,976,644/7,758
6. Step 6: Final answer
   x = 38,408.95