Finding the Third Proportional to 7,784 and 17,082

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784 : 17,082 = 17,082 : x
2. Step 2: Convert to fraction form
   7,784/17,082 = 17,082/x
3. Step 3: Cross multiply
   7,784x = 17,082 × 17,082
4. Step 4: Simplify right side
   7,784x = 291,794,724
5. Step 5: Solve for x
   x = 291,794,724/7,784
6. Step 6: Final answer
   x = 37,486.48