Finding the Third Proportional to 51,042 and 74,780

Step by Step Solution

1. Step 1: Write the proportion equation
   51,042 : 74,780 = 74,780 : x
2. Step 2: Convert to fraction form
   51,042/74,780 = 74,780/x
3. Step 3: Cross multiply
   51,042x = 74,780 × 74,780
4. Step 4: Simplify right side
   51,042x = 5,592,048,400
5. Step 5: Solve for x
   x = 5,592,048,400/51,042
6. Step 6: Final answer
   x = 109,557.78