Finding the Third Proportional to 35,760 and 76,140

Step by Step Solution

1. Step 1: Write the proportion equation
   35,760 : 76,140 = 76,140 : x
2. Step 2: Convert to fraction form
   35,760/76,140 = 76,140/x
3. Step 3: Cross multiply
   35,760x = 76,140 × 76,140
4. Step 4: Simplify right side
   35,760x = 5,797,299,600
5. Step 5: Solve for x
   x = 5,797,299,600/35,760
6. Step 6: Final answer
   x = 162,116.88