Finding the Third Proportional to 32,742 and 70,262

Step by Step Solution

1. Step 1: Write the proportion equation
   32,742 : 70,262 = 70,262 : x
2. Step 2: Convert to fraction form
   32,742/70,262 = 70,262/x
3. Step 3: Cross multiply
   32,742x = 70,262 × 70,262
4. Step 4: Simplify right side
   32,742x = 4,936,748,644
5. Step 5: Solve for x
   x = 4,936,748,644/32,742
6. Step 6: Final answer
   x = 150,777.25