Finding the Third Proportional to 11,170 and 30,385

Step by Step Solution

1. Step 1: Write the proportion equation
   11,170 : 30,385 = 30,385 : x
2. Step 2: Convert to fraction form
   11,170/30,385 = 30,385/x
3. Step 3: Cross multiply
   11,170x = 30,385 × 30,385
4. Step 4: Simplify right side
   11,170x = 923,248,225
5. Step 5: Solve for x
   x = 923,248,225/11,170
6. Step 6: Final answer
   x = 82,654.27