Finding the Third Proportional to 16,826 and 37,015

Step by Step Solution

1. Step 1: Write the proportion equation
   16,826 : 37,015 = 37,015 : x
2. Step 2: Convert to fraction form
   16,826/37,015 = 37,015/x
3. Step 3: Cross multiply
   16,826x = 37,015 × 37,015
4. Step 4: Simplify right side
   16,826x = 1,370,110,225
5. Step 5: Solve for x
   x = 1,370,110,225/16,826
6. Step 6: Final answer
   x = 81,428.16