Finding the Third Proportional to 34,212 and 71,145

Step by Step Solution

1. Step 1: Write the proportion equation
   34,212 : 71,145 = 71,145 : x
2. Step 2: Convert to fraction form
   34,212/71,145 = 71,145/x
3. Step 3: Cross multiply
   34,212x = 71,145 × 71,145
4. Step 4: Simplify right side
   34,212x = 5,061,611,025
5. Step 5: Solve for x
   x = 5,061,611,025/34,212
6. Step 6: Final answer
   x = 147,948.41