Finding the Third Proportional to 12,100 and 16,174

Step by Step Solution

1. Step 1: Write the proportion equation
   12,100 : 16,174 = 16,174 : x
2. Step 2: Convert to fraction form
   12,100/16,174 = 16,174/x
3. Step 3: Cross multiply
   12,100x = 16,174 × 16,174
4. Step 4: Simplify right side
   12,100x = 261,598,276
5. Step 5: Solve for x
   x = 261,598,276/12,100
6. Step 6: Final answer
   x = 21,619.69