Finding the Third Proportional to 17,780 and 41,813

Step by Step Solution

1. Step 1: Write the proportion equation
   17,780 : 41,813 = 41,813 : x
2. Step 2: Convert to fraction form
   17,780/41,813 = 41,813/x
3. Step 3: Cross multiply
   17,780x = 41,813 × 41,813
4. Step 4: Simplify right side
   17,780x = 1,748,326,969
5. Step 5: Solve for x
   x = 1,748,326,969/17,780
6. Step 6: Final answer
   x = 98,331.10