Finding the Third Proportional to 16,142 and 35,174

Step by Step Solution

1. Step 1: Write the proportion equation
   16,142 : 35,174 = 35,174 : x
2. Step 2: Convert to fraction form
   16,142/35,174 = 35,174/x
3. Step 3: Cross multiply
   16,142x = 35,174 × 35,174
4. Step 4: Simplify right side
   16,142x = 1,237,210,276
5. Step 5: Solve for x
   x = 1,237,210,276/16,142
6. Step 6: Final answer
   x = 76,645.41