Finding the Third Proportional to 7,830 and 17,100

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 17,100 = 17,100 : x
2. Step 2: Convert to fraction form
   7,830/17,100 = 17,100/x
3. Step 3: Cross multiply
   7,830x = 17,100 × 17,100
4. Step 4: Simplify right side
   7,830x = 292,410,000
5. Step 5: Solve for x
   x = 292,410,000/7,830
6. Step 6: Final answer
   x = 37,344.83