Finding the Third Proportional to 7,486 and 17,662

Step by Step Solution

1. Step 1: Write the proportion equation
   7,486 : 17,662 = 17,662 : x
2. Step 2: Convert to fraction form
   7,486/17,662 = 17,662/x
3. Step 3: Cross multiply
   7,486x = 17,662 × 17,662
4. Step 4: Simplify right side
   7,486x = 311,946,244
5. Step 5: Solve for x
   x = 311,946,244/7,486
6. Step 6: Final answer
   x = 41,670.62