Finding the Third Proportional to 32,409 and 70,830

Step by Step Solution

1. Step 1: Write the proportion equation
   32,409 : 70,830 = 70,830 : x
2. Step 2: Convert to fraction form
   32,409/70,830 = 70,830/x
3. Step 3: Cross multiply
   32,409x = 70,830 × 70,830
4. Step 4: Simplify right side
   32,409x = 5,016,888,900
5. Step 5: Solve for x
   x = 5,016,888,900/32,409
6. Step 6: Final answer
   x = 154,799.25