Finding the Third Proportional to 40,772 and 76,424

Step by Step Solution

1. Step 1: Write the proportion equation
   40,772 : 76,424 = 76,424 : x
2. Step 2: Convert to fraction form
   40,772/76,424 = 76,424/x
3. Step 3: Cross multiply
   40,772x = 76,424 × 76,424
4. Step 4: Simplify right side
   40,772x = 5,840,627,776
5. Step 5: Solve for x
   x = 5,840,627,776/40,772
6. Step 6: Final answer
   x = 143,250.95