Finding the Third Proportional to 7,754 and 17,981

Step by Step Solution

1. Step 1: Write the proportion equation
   7,754 : 17,981 = 17,981 : x
2. Step 2: Convert to fraction form
   7,754/17,981 = 17,981/x
3. Step 3: Cross multiply
   7,754x = 17,981 × 17,981
4. Step 4: Simplify right side
   7,754x = 323,316,361
5. Step 5: Solve for x
   x = 323,316,361/7,754
6. Step 6: Final answer
   x = 41,696.72