Finding the Third Proportional to 32,804 and 71,914

Step by Step Solution

1. Step 1: Write the proportion equation
   32,804 : 71,914 = 71,914 : x
2. Step 2: Convert to fraction form
   32,804/71,914 = 71,914/x
3. Step 3: Cross multiply
   32,804x = 71,914 × 71,914
4. Step 4: Simplify right side
   32,804x = 5,171,623,396
5. Step 5: Solve for x
   x = 5,171,623,396/32,804
6. Step 6: Final answer
   x = 157,652.22