Finding the Third Proportional to 34,702 and 74,666

Step by Step Solution

1. Step 1: Write the proportion equation
   34,702 : 74,666 = 74,666 : x
2. Step 2: Convert to fraction form
   34,702/74,666 = 74,666/x
3. Step 3: Cross multiply
   34,702x = 74,666 × 74,666
4. Step 4: Simplify right side
   34,702x = 5,575,011,556
5. Step 5: Solve for x
   x = 5,575,011,556/34,702
6. Step 6: Final answer
   x = 160,653.90