Finding the Third Proportional to 17,413 and 37,742

Step by Step Solution

1. Step 1: Write the proportion equation
   17,413 : 37,742 = 37,742 : x
2. Step 2: Convert to fraction form
   17,413/37,742 = 37,742/x
3. Step 3: Cross multiply
   17,413x = 37,742 × 37,742
4. Step 4: Simplify right side
   17,413x = 1,424,458,564
5. Step 5: Solve for x
   x = 1,424,458,564/17,413
6. Step 6: Final answer
   x = 81,804.32