Finding the Third Proportional to 16,106 and 37,361

Step by Step Solution

1. Step 1: Write the proportion equation
   16,106 : 37,361 = 37,361 : x
2. Step 2: Convert to fraction form
   16,106/37,361 = 37,361/x
3. Step 3: Cross multiply
   16,106x = 37,361 × 37,361
4. Step 4: Simplify right side
   16,106x = 1,395,844,321
5. Step 5: Solve for x
   x = 1,395,844,321/16,106
6. Step 6: Final answer
   x = 86,666.11