Finding the Third Proportional to 41,782 and 58,560

Step by Step Solution

1. Step 1: Write the proportion equation
   41,782 : 58,560 = 58,560 : x
2. Step 2: Convert to fraction form
   41,782/58,560 = 58,560/x
3. Step 3: Cross multiply
   41,782x = 58,560 × 58,560
4. Step 4: Simplify right side
   41,782x = 3,429,273,600
5. Step 5: Solve for x
   x = 3,429,273,600/41,782
6. Step 6: Final answer
   x = 82,075.38