Finding the Third Proportional to 8,106 and 17,362

Step by Step Solution

1. Step 1: Write the proportion equation
   8,106 : 17,362 = 17,362 : x
2. Step 2: Convert to fraction form
   8,106/17,362 = 17,362/x
3. Step 3: Cross multiply
   8,106x = 17,362 × 17,362
4. Step 4: Simplify right side
   8,106x = 301,439,044
5. Step 5: Solve for x
   x = 301,439,044/8,106
6. Step 6: Final answer
   x = 37,187.15