Finding the Third Proportional to 35,203 and 72,740

Step by Step Solution

1. Step 1: Write the proportion equation
   35,203 : 72,740 = 72,740 : x
2. Step 2: Convert to fraction form
   35,203/72,740 = 72,740/x
3. Step 3: Cross multiply
   35,203x = 72,740 × 72,740
4. Step 4: Simplify right side
   35,203x = 5,291,107,600
5. Step 5: Solve for x
   x = 5,291,107,600/35,203
6. Step 6: Final answer
   x = 150,302.75