Finding the Third Proportional to 11,174 and 30,399

Step by Step Solution

1. Step 1: Write the proportion equation
   11,174 : 30,399 = 30,399 : x
2. Step 2: Convert to fraction form
   11,174/30,399 = 30,399/x
3. Step 3: Cross multiply
   11,174x = 30,399 × 30,399
4. Step 4: Simplify right side
   11,174x = 924,099,201
5. Step 5: Solve for x
   x = 924,099,201/11,174
6. Step 6: Final answer
   x = 82,700.84