Finding the Third Proportional to 31,606 and 73,168

Step by Step Solution

1. Step 1: Write the proportion equation
   31,606 : 73,168 = 73,168 : x
2. Step 2: Convert to fraction form
   31,606/73,168 = 73,168/x
3. Step 3: Cross multiply
   31,606x = 73,168 × 73,168
4. Step 4: Simplify right side
   31,606x = 5,353,556,224
5. Step 5: Solve for x
   x = 5,353,556,224/31,606
6. Step 6: Final answer
   x = 169,384.17