Finding the Third Proportional to 30,461 and 71,174

Step by Step Solution

1. Step 1: Write the proportion equation
   30,461 : 71,174 = 71,174 : x
2. Step 2: Convert to fraction form
   30,461/71,174 = 71,174/x
3. Step 3: Cross multiply
   30,461x = 71,174 × 71,174
4. Step 4: Simplify right side
   30,461x = 5,065,738,276
5. Step 5: Solve for x
   x = 5,065,738,276/30,461
6. Step 6: Final answer
   x = 166,302.43