Finding the Third Proportional to 9,782 and 21,746

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782 : 21,746 = 21,746 : x
2. Step 2: Convert to fraction form
   9,782/21,746 = 21,746/x
3. Step 3: Cross multiply
   9,782x = 21,746 × 21,746
4. Step 4: Simplify right side
   9,782x = 472,888,516
5. Step 5: Solve for x
   x = 472,888,516/9,782
6. Step 6: Final answer
   x = 48,342.72