Finding the Third Proportional to 32,740 and 70,259

Step by Step Solution

1. Step 1: Write the proportion equation
   32,740 : 70,259 = 70,259 : x
2. Step 2: Convert to fraction form
   32,740/70,259 = 70,259/x
3. Step 3: Cross multiply
   32,740x = 70,259 × 70,259
4. Step 4: Simplify right side
   32,740x = 4,936,327,081
5. Step 5: Solve for x
   x = 4,936,327,081/32,740
6. Step 6: Final answer
   x = 150,773.58