Finding the Third Proportional to 7,852 and 16,510

Step by Step Solution

1. Step 1: Write the proportion equation
   7,852 : 16,510 = 16,510 : x
2. Step 2: Convert to fraction form
   7,852/16,510 = 16,510/x
3. Step 3: Cross multiply
   7,852x = 16,510 × 16,510
4. Step 4: Simplify right side
   7,852x = 272,580,100
5. Step 5: Solve for x
   x = 272,580,100/7,852
6. Step 6: Final answer
   x = 34,714.74