Finding the Third Proportional to 17,680 and 36,784

Step by Step Solution

1. Step 1: Write the proportion equation
   17,680 : 36,784 = 36,784 : x
2. Step 2: Convert to fraction form
   17,680/36,784 = 36,784/x
3. Step 3: Cross multiply
   17,680x = 36,784 × 36,784
4. Step 4: Simplify right side
   17,680x = 1,353,062,656
5. Step 5: Solve for x
   x = 1,353,062,656/17,680
6. Step 6: Final answer
   x = 76,530.69