Finding the Third Proportional to 34,514 and 74,670

Step by Step Solution

1. Step 1: Write the proportion equation
   34,514 : 74,670 = 74,670 : x
2. Step 2: Convert to fraction form
   34,514/74,670 = 74,670/x
3. Step 3: Cross multiply
   34,514x = 74,670 × 74,670
4. Step 4: Simplify right side
   34,514x = 5,575,608,900
5. Step 5: Solve for x
   x = 5,575,608,900/34,514
6. Step 6: Final answer
   x = 161,546.30