Finding the Third Proportional to 30,376 and 63,824

Step by Step Solution

1. Step 1: Write the proportion equation
   30,376 : 63,824 = 63,824 : x
2. Step 2: Convert to fraction form
   30,376/63,824 = 63,824/x
3. Step 3: Cross multiply
   30,376x = 63,824 × 63,824
4. Step 4: Simplify right side
   30,376x = 4,073,502,976
5. Step 5: Solve for x
   x = 4,073,502,976/30,376
6. Step 6: Final answer
   x = 134,102.68