Finding the Third Proportional to 35,580 and 75,540

Step by Step Solution

1. Step 1: Write the proportion equation
   35,580 : 75,540 = 75,540 : x
2. Step 2: Convert to fraction form
   35,580/75,540 = 75,540/x
3. Step 3: Cross multiply
   35,580x = 75,540 × 75,540
4. Step 4: Simplify right side
   35,580x = 5,706,291,600
5. Step 5: Solve for x
   x = 5,706,291,600/35,580
6. Step 6: Final answer
   x = 160,379.19