Finding the Third Proportional to 51,759 and 78,042

Step by Step Solution

1. Step 1: Write the proportion equation
   51,759 : 78,042 = 78,042 : x
2. Step 2: Convert to fraction form
   51,759/78,042 = 78,042/x
3. Step 3: Cross multiply
   51,759x = 78,042 × 78,042
4. Step 4: Simplify right side
   51,759x = 6,090,553,764
5. Step 5: Solve for x
   x = 6,090,553,764/51,759
6. Step 6: Final answer
   x = 117,671.40