Finding the Third Proportional to 11,262 and 17,385

Step by Step Solution

1. Step 1: Write the proportion equation
   11,262 : 17,385 = 17,385 : x
2. Step 2: Convert to fraction form
   11,262/17,385 = 17,385/x
3. Step 3: Cross multiply
   11,262x = 17,385 × 17,385
4. Step 4: Simplify right side
   11,262x = 302,238,225
5. Step 5: Solve for x
   x = 302,238,225/11,262
6. Step 6: Final answer
   x = 26,836.99