Finding the Third Proportional to 16,072 and 34,784

Step by Step Solution

1. Step 1: Write the proportion equation
   16,072 : 34,784 = 34,784 : x
2. Step 2: Convert to fraction form
   16,072/34,784 = 34,784/x
3. Step 3: Cross multiply
   16,072x = 34,784 × 34,784
4. Step 4: Simplify right side
   16,072x = 1,209,926,656
5. Step 5: Solve for x
   x = 1,209,926,656/16,072
6. Step 6: Final answer
   x = 75,281.65