Finding the Third Proportional to 16,224 and 34,876

Step by Step Solution

1. Step 1: Write the proportion equation
   16,224 : 34,876 = 34,876 : x
2. Step 2: Convert to fraction form
   16,224/34,876 = 34,876/x
3. Step 3: Cross multiply
   16,224x = 34,876 × 34,876
4. Step 4: Simplify right side
   16,224x = 1,216,335,376
5. Step 5: Solve for x
   x = 1,216,335,376/16,224
6. Step 6: Final answer
   x = 74,971.36