Finding the Third Proportional to 16,046 and 37,806

Step by Step Solution

1. Step 1: Write the proportion equation
   16,046 : 37,806 = 37,806 : x
2. Step 2: Convert to fraction form
   16,046/37,806 = 37,806/x
3. Step 3: Cross multiply
   16,046x = 37,806 × 37,806
4. Step 4: Simplify right side
   16,046x = 1,429,293,636
5. Step 5: Solve for x
   x = 1,429,293,636/16,046
6. Step 6: Final answer
   x = 89,074.76