Finding the Third Proportional to 16,939 and 37,106

Step by Step Solution

1. Step 1: Write the proportion equation
   16,939 : 37,106 = 37,106 : x
2. Step 2: Convert to fraction form
   16,939/37,106 = 37,106/x
3. Step 3: Cross multiply
   16,939x = 37,106 × 37,106
4. Step 4: Simplify right side
   16,939x = 1,376,855,236
5. Step 5: Solve for x
   x = 1,376,855,236/16,939
6. Step 6: Final answer
   x = 81,283.15