Finding the Third Proportional to 17,761 and 41,011

Step by Step Solution

1. Step 1: Write the proportion equation
   17,761 : 41,011 = 41,011 : x
2. Step 2: Convert to fraction form
   17,761/41,011 = 41,011/x
3. Step 3: Cross multiply
   17,761x = 41,011 × 41,011
4. Step 4: Simplify right side
   17,761x = 1,681,902,121
5. Step 5: Solve for x
   x = 1,681,902,121/17,761
6. Step 6: Final answer
   x = 94,696.36