Finding the Third Proportional to 10,365 and 12,174

Step by Step Solution

1. Step 1: Write the proportion equation
   10,365 : 12,174 = 12,174 : x
2. Step 2: Convert to fraction form
   10,365/12,174 = 12,174/x
3. Step 3: Cross multiply
   10,365x = 12,174 × 12,174
4. Step 4: Simplify right side
   10,365x = 148,206,276
5. Step 5: Solve for x
   x = 148,206,276/10,365
6. Step 6: Final answer
   x = 14,298.72