Finding the Third Proportional to 14,288 and 34,428

Step by Step Solution

1. Step 1: Write the proportion equation
   14,288 : 34,428 = 34,428 : x
2. Step 2: Convert to fraction form
   14,288/34,428 = 34,428/x
3. Step 3: Cross multiply
   14,288x = 34,428 × 34,428
4. Step 4: Simplify right side
   14,288x = 1,185,287,184
5. Step 5: Solve for x
   x = 1,185,287,184/14,288
6. Step 6: Final answer
   x = 82,956.83