Finding the Third Proportional to 17,829 and 37,863

Step by Step Solution

1. Step 1: Write the proportion equation
   17,829 : 37,863 = 37,863 : x
2. Step 2: Convert to fraction form
   17,829/37,863 = 37,863/x
3. Step 3: Cross multiply
   17,829x = 37,863 × 37,863
4. Step 4: Simplify right side
   17,829x = 1,433,606,769
5. Step 5: Solve for x
   x = 1,433,606,769/17,829
6. Step 6: Final answer
   x = 80,408.70