Finding the Third Proportional to 34,144 and 74,514

Step by Step Solution

1. Step 1: Write the proportion equation
   34,144 : 74,514 = 74,514 : x
2. Step 2: Convert to fraction form
   34,144/74,514 = 74,514/x
3. Step 3: Cross multiply
   34,144x = 74,514 × 74,514
4. Step 4: Simplify right side
   34,144x = 5,552,336,196
5. Step 5: Solve for x
   x = 5,552,336,196/34,144
6. Step 6: Final answer
   x = 162,615.28