Finding the Third Proportional to 32,740 and 71,852

Step by Step Solution

1. Step 1: Write the proportion equation
   32,740 : 71,852 = 71,852 : x
2. Step 2: Convert to fraction form
   32,740/71,852 = 71,852/x
3. Step 3: Cross multiply
   32,740x = 71,852 × 71,852
4. Step 4: Simplify right side
   32,740x = 5,162,709,904
5. Step 5: Solve for x
   x = 5,162,709,904/32,740
6. Step 6: Final answer
   x = 157,688.15