Finding the Third Proportional to 34,004 and 52,780

Step by Step Solution

1. Step 1: Write the proportion equation
   34,004 : 52,780 = 52,780 : x
2. Step 2: Convert to fraction form
   34,004/52,780 = 52,780/x
3. Step 3: Cross multiply
   34,004x = 52,780 × 52,780
4. Step 4: Simplify right side
   34,004x = 2,785,728,400
5. Step 5: Solve for x
   x = 2,785,728,400/34,004
6. Step 6: Final answer
   x = 81,923.55