Finding the Third Proportional to 13,824 and 30,776

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824 : 30,776 = 30,776 : x
2. Step 2: Convert to fraction form
   13,824/30,776 = 30,776/x
3. Step 3: Cross multiply
   13,824x = 30,776 × 30,776
4. Step 4: Simplify right side
   13,824x = 947,162,176
5. Step 5: Solve for x
   x = 947,162,176/13,824
6. Step 6: Final answer
   x = 68,515.78