Finding the Third Proportional to 10,782 and 23,738

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782 : 23,738 = 23,738 : x
2. Step 2: Convert to fraction form
   10,782/23,738 = 23,738/x
3. Step 3: Cross multiply
   10,782x = 23,738 × 23,738
4. Step 4: Simplify right side
   10,782x = 563,492,644
5. Step 5: Solve for x
   x = 563,492,644/10,782
6. Step 6: Final answer
   x = 52,262.35