Finding the Third Proportional to 30,216 and 35,772

Step by Step Solution

1. Step 1: Write the proportion equation
   30,216 : 35,772 = 35,772 : x
2. Step 2: Convert to fraction form
   30,216/35,772 = 35,772/x
3. Step 3: Cross multiply
   30,216x = 35,772 × 35,772
4. Step 4: Simplify right side
   30,216x = 1,279,635,984
5. Step 5: Solve for x
   x = 1,279,635,984/30,216
6. Step 6: Final answer
   x = 42,349.62