Finding the Third Proportional to 36,943 and 76,514

Step by Step Solution

1. Step 1: Write the proportion equation
   36,943 : 76,514 = 76,514 : x
2. Step 2: Convert to fraction form
   36,943/76,514 = 76,514/x
3. Step 3: Cross multiply
   36,943x = 76,514 × 76,514
4. Step 4: Simplify right side
   36,943x = 5,854,392,196
5. Step 5: Solve for x
   x = 5,854,392,196/36,943
6. Step 6: Final answer
   x = 158,470.95