Finding the Third Proportional to 29,540 and 65,580

Step by Step Solution

1. Step 1: Write the proportion equation
   29,540 : 65,580 = 65,580 : x
2. Step 2: Convert to fraction form
   29,540/65,580 = 65,580/x
3. Step 3: Cross multiply
   29,540x = 65,580 × 65,580
4. Step 4: Simplify right side
   29,540x = 4,300,736,400
5. Step 5: Solve for x
   x = 4,300,736,400/29,540
6. Step 6: Final answer
   x = 145,590.26