Finding the Third Proportional to 32,735 and 71,303

Step by Step Solution

1. Step 1: Write the proportion equation
   32,735 : 71,303 = 71,303 : x
2. Step 2: Convert to fraction form
   32,735/71,303 = 71,303/x
3. Step 3: Cross multiply
   32,735x = 71,303 × 71,303
4. Step 4: Simplify right side
   32,735x = 5,084,117,809
5. Step 5: Solve for x
   x = 5,084,117,809/32,735
6. Step 6: Final answer
   x = 155,311.37