Finding the Third Proportional to 34,210 and 73,514

Step by Step Solution

1. Step 1: Write the proportion equation
   34,210 : 73,514 = 73,514 : x
2. Step 2: Convert to fraction form
   34,210/73,514 = 73,514/x
3. Step 3: Cross multiply
   34,210x = 73,514 × 73,514
4. Step 4: Simplify right side
   34,210x = 5,404,308,196
5. Step 5: Solve for x
   x = 5,404,308,196/34,210
6. Step 6: Final answer
   x = 157,974.52