Finding the Third Proportional to 13,776 and 30,416

Step by Step Solution

1. Step 1: Write the proportion equation
   13,776 : 30,416 = 30,416 : x
2. Step 2: Convert to fraction form
   13,776/30,416 = 30,416/x
3. Step 3: Cross multiply
   13,776x = 30,416 × 30,416
4. Step 4: Simplify right side
   13,776x = 925,133,056
5. Step 5: Solve for x
   x = 925,133,056/13,776
6. Step 6: Final answer
   x = 67,155.42