Finding the Third Proportional to 12,533.50 and 14,174

Step by Step Solution

1. Step 1: Write the proportion equation
   12,533.50 : 14,174 = 14,174 : x
2. Step 2: Convert to fraction form
   12,533.50/14,174 = 14,174/x
3. Step 3: Cross multiply
   12,533.50x = 14,174 × 14,174
4. Step 4: Simplify right side
   12,533.50x = 200,902,276
5. Step 5: Solve for x
   x = 200,902,276/12,533.50
6. Step 6: Final answer
   x = 16,029.22