Finding the Third Proportional to 16,580 and 34,762

Step by Step Solution

1. Step 1: Write the proportion equation
   16,580 : 34,762 = 34,762 : x
2. Step 2: Convert to fraction form
   16,580/34,762 = 34,762/x
3. Step 3: Cross multiply
   16,580x = 34,762 × 34,762
4. Step 4: Simplify right side
   16,580x = 1,208,396,644
5. Step 5: Solve for x
   x = 1,208,396,644/16,580
6. Step 6: Final answer
   x = 72,882.79