Finding the Third Proportional to 34,476 and 71,166

Step by Step Solution

1. Step 1: Write the proportion equation
   34,476 : 71,166 = 71,166 : x
2. Step 2: Convert to fraction form
   34,476/71,166 = 71,166/x
3. Step 3: Cross multiply
   34,476x = 71,166 × 71,166
4. Step 4: Simplify right side
   34,476x = 5,064,599,556
5. Step 5: Solve for x
   x = 5,064,599,556/34,476
6. Step 6: Final answer
   x = 146,902.18