Finding the Third Proportional to 14,662 and 34,576

Step by Step Solution

1. Step 1: Write the proportion equation
   14,662 : 34,576 = 34,576 : x
2. Step 2: Convert to fraction form
   14,662/34,576 = 34,576/x
3. Step 3: Cross multiply
   14,662x = 34,576 × 34,576
4. Step 4: Simplify right side
   14,662x = 1,195,499,776
5. Step 5: Solve for x
   x = 1,195,499,776/14,662
6. Step 6: Final answer
   x = 81,537.29