Finding the Third Proportional to 32,740 and 71,477

Step by Step Solution

1. Step 1: Write the proportion equation
   32,740 : 71,477 = 71,477 : x
2. Step 2: Convert to fraction form
   32,740/71,477 = 71,477/x
3. Step 3: Cross multiply
   32,740x = 71,477 × 71,477
4. Step 4: Simplify right side
   32,740x = 5,108,961,529
5. Step 5: Solve for x
   x = 5,108,961,529/32,740
6. Step 6: Final answer
   x = 156,046.47