Finding the Third Proportional to 14,162 and 30,784

Step by Step Solution

1. Step 1: Write the proportion equation
   14,162 : 30,784 = 30,784 : x
2. Step 2: Convert to fraction form
   14,162/30,784 = 30,784/x
3. Step 3: Cross multiply
   14,162x = 30,784 × 30,784
4. Step 4: Simplify right side
   14,162x = 947,654,656
5. Step 5: Solve for x
   x = 947,654,656/14,162
6. Step 6: Final answer
   x = 66,915.31