Finding the Third Proportional to 10,783 and 22,154

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783 : 22,154 = 22,154 : x
2. Step 2: Convert to fraction form
   10,783/22,154 = 22,154/x
3. Step 3: Cross multiply
   10,783x = 22,154 × 22,154
4. Step 4: Simplify right side
   10,783x = 490,799,716
5. Step 5: Solve for x
   x = 490,799,716/10,783
6. Step 6: Final answer
   x = 45,516.06