Finding the Third Proportional to 34,510 and 71,225

Step by Step Solution

1. Step 1: Write the proportion equation
   34,510 : 71,225 = 71,225 : x
2. Step 2: Convert to fraction form
   34,510/71,225 = 71,225/x
3. Step 3: Cross multiply
   34,510x = 71,225 × 71,225
4. Step 4: Simplify right side
   34,510x = 5,073,000,625
5. Step 5: Solve for x
   x = 5,073,000,625/34,510
6. Step 6: Final answer
   x = 147,000.89