Finding the Third Proportional to 16,160 and 33,784

Step by Step Solution

1. Step 1: Write the proportion equation
   16,160 : 33,784 = 33,784 : x
2. Step 2: Convert to fraction form
   16,160/33,784 = 33,784/x
3. Step 3: Cross multiply
   16,160x = 33,784 × 33,784
4. Step 4: Simplify right side
   16,160x = 1,141,358,656
5. Step 5: Solve for x
   x = 1,141,358,656/16,160
6. Step 6: Final answer
   x = 70,628.63