Finding the Third Proportional to 30,759 and 67,269

Step by Step Solution

1. Step 1: Write the proportion equation
   30,759 : 67,269 = 67,269 : x
2. Step 2: Convert to fraction form
   30,759/67,269 = 67,269/x
3. Step 3: Cross multiply
   30,759x = 67,269 × 67,269
4. Step 4: Simplify right side
   30,759x = 4,525,118,361
5. Step 5: Solve for x
   x = 4,525,118,361/30,759
6. Step 6: Final answer
   x = 147,115.26