Finding the Third Proportional to 7,977 and 17,466

Step by Step Solution

1. Step 1: Write the proportion equation
   7,977 : 17,466 = 17,466 : x
2. Step 2: Convert to fraction form
   7,977/17,466 = 17,466/x
3. Step 3: Cross multiply
   7,977x = 17,466 × 17,466
4. Step 4: Simplify right side
   7,977x = 305,061,156
5. Step 5: Solve for x
   x = 305,061,156/7,977
6. Step 6: Final answer
   x = 38,242.59