Finding the Third Proportional to 35,772 and 76,293

Step by Step Solution

1. Step 1: Write the proportion equation
   35,772 : 76,293 = 76,293 : x
2. Step 2: Convert to fraction form
   35,772/76,293 = 76,293/x
3. Step 3: Cross multiply
   35,772x = 76,293 × 76,293
4. Step 4: Simplify right side
   35,772x = 5,820,621,849
5. Step 5: Solve for x
   x = 5,820,621,849/35,772
6. Step 6: Final answer
   x = 162,714.47