Finding the Third Proportional to 17,704 and 37,828

Step by Step Solution

1. Step 1: Write the proportion equation
   17,704 : 37,828 = 37,828 : x
2. Step 2: Convert to fraction form
   17,704/37,828 = 37,828/x
3. Step 3: Cross multiply
   17,704x = 37,828 × 37,828
4. Step 4: Simplify right side
   17,704x = 1,430,957,584
5. Step 5: Solve for x
   x = 1,430,957,584/17,704
6. Step 6: Final answer
   x = 80,826.80