Finding the Third Proportional to 34,288 and 69,530

Step by Step Solution

1. Step 1: Write the proportion equation
   34,288 : 69,530 = 69,530 : x
2. Step 2: Convert to fraction form
   34,288/69,530 = 69,530/x
3. Step 3: Cross multiply
   34,288x = 69,530 × 69,530
4. Step 4: Simplify right side
   34,288x = 4,834,420,900
5. Step 5: Solve for x
   x = 4,834,420,900/34,288
6. Step 6: Final answer
   x = 140,994.54