Finding the Third Proportional to 32,740 and 71,672

Step by Step Solution

1. Step 1: Write the proportion equation
   32,740 : 71,672 = 71,672 : x
2. Step 2: Convert to fraction form
   32,740/71,672 = 71,672/x
3. Step 3: Cross multiply
   32,740x = 71,672 × 71,672
4. Step 4: Simplify right side
   32,740x = 5,136,875,584
5. Step 5: Solve for x
   x = 5,136,875,584/32,740
6. Step 6: Final answer
   x = 156,899.07