Finding the Third Proportional to 30,396 and 42,774

Step by Step Solution

1. Step 1: Write the proportion equation
   30,396 : 42,774 = 42,774 : x
2. Step 2: Convert to fraction form
   30,396/42,774 = 42,774/x
3. Step 3: Cross multiply
   30,396x = 42,774 × 42,774
4. Step 4: Simplify right side
   30,396x = 1,829,615,076
5. Step 5: Solve for x
   x = 1,829,615,076/30,396
6. Step 6: Final answer
   x = 60,192.63