Finding the Third Proportional to 17,776 and 41,154

Step by Step Solution

1. Step 1: Write the proportion equation
   17,776 : 41,154 = 41,154 : x
2. Step 2: Convert to fraction form
   17,776/41,154 = 41,154/x
3. Step 3: Cross multiply
   17,776x = 41,154 × 41,154
4. Step 4: Simplify right side
   17,776x = 1,693,651,716
5. Step 5: Solve for x
   x = 1,693,651,716/17,776
6. Step 6: Final answer
   x = 95,277.44