Finding the Third Proportional to 7,830 and 17,143

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 17,143 = 17,143 : x
2. Step 2: Convert to fraction form
   7,830/17,143 = 17,143/x
3. Step 3: Cross multiply
   7,830x = 17,143 × 17,143
4. Step 4: Simplify right side
   7,830x = 293,882,449
5. Step 5: Solve for x
   x = 293,882,449/7,830
6. Step 6: Final answer
   x = 37,532.88