Finding the Third Proportional to 34,816 and 71,475

Step by Step Solution

1. Step 1: Write the proportion equation
   34,816 : 71,475 = 71,475 : x
2. Step 2: Convert to fraction form
   34,816/71,475 = 71,475/x
3. Step 3: Cross multiply
   34,816x = 71,475 × 71,475
4. Step 4: Simplify right side
   34,816x = 5,108,675,625
5. Step 5: Solve for x
   x = 5,108,675,625/34,816
6. Step 6: Final answer
   x = 146,733.56