Finding the Third Proportional to 14,666 and 34,610

Step by Step Solution

1. Step 1: Write the proportion equation
   14,666 : 34,610 = 34,610 : x
2. Step 2: Convert to fraction form
   14,666/34,610 = 34,610/x
3. Step 3: Cross multiply
   14,666x = 34,610 × 34,610
4. Step 4: Simplify right side
   14,666x = 1,197,852,100
5. Step 5: Solve for x
   x = 1,197,852,100/14,666
6. Step 6: Final answer
   x = 81,675.45