Finding the Third Proportional to 34,349 and 71,329

Step by Step Solution

1. Step 1: Write the proportion equation
   34,349 : 71,329 = 71,329 : x
2. Step 2: Convert to fraction form
   34,349/71,329 = 71,329/x
3. Step 3: Cross multiply
   34,349x = 71,329 × 71,329
4. Step 4: Simplify right side
   34,349x = 5,087,826,241
5. Step 5: Solve for x
   x = 5,087,826,241/34,349
6. Step 6: Final answer
   x = 148,121.52