Finding the Third Proportional to 5,080 and 10,784

Step by Step Solution

1. Step 1: Write the proportion equation
   5,080 : 10,784 = 10,784 : x
2. Step 2: Convert to fraction form
   5,080/10,784 = 10,784/x
3. Step 3: Cross multiply
   5,080x = 10,784 × 10,784
4. Step 4: Simplify right side
   5,080x = 116,294,656
5. Step 5: Solve for x
   x = 116,294,656/5,080
6. Step 6: Final answer
   x = 22,892.65