Finding the Third Proportional to 32,734 and 70,648

Step by Step Solution

1. Step 1: Write the proportion equation
   32,734 : 70,648 = 70,648 : x
2. Step 2: Convert to fraction form
   32,734/70,648 = 70,648/x
3. Step 3: Cross multiply
   32,734x = 70,648 × 70,648
4. Step 4: Simplify right side
   32,734x = 4,991,139,904
5. Step 5: Solve for x
   x = 4,991,139,904/32,734
6. Step 6: Final answer
   x = 152,475.71