Finding the Third Proportional to 17,764 and 41,882

Step by Step Solution

1. Step 1: Write the proportion equation
   17,764 : 41,882 = 41,882 : x
2. Step 2: Convert to fraction form
   17,764/41,882 = 41,882/x
3. Step 3: Cross multiply
   17,764x = 41,882 × 41,882
4. Step 4: Simplify right side
   17,764x = 1,754,101,924
5. Step 5: Solve for x
   x = 1,754,101,924/17,764
6. Step 6: Final answer
   x = 98,744.76