Finding the Third Proportional to 34,754 and 67,780

Step by Step Solution

1. Step 1: Write the proportion equation
   34,754 : 67,780 = 67,780 : x
2. Step 2: Convert to fraction form
   34,754/67,780 = 67,780/x
3. Step 3: Cross multiply
   34,754x = 67,780 × 67,780
4. Step 4: Simplify right side
   34,754x = 4,594,128,400
5. Step 5: Solve for x
   x = 4,594,128,400/34,754
6. Step 6: Final answer
   x = 132,189.92