Finding the Third Proportional to 11,802 and 22,506

Step by Step Solution

1. Step 1: Write the proportion equation
   11,802 : 22,506 = 22,506 : x
2. Step 2: Convert to fraction form
   11,802/22,506 = 22,506/x
3. Step 3: Cross multiply
   11,802x = 22,506 × 22,506
4. Step 4: Simplify right side
   11,802x = 506,520,036
5. Step 5: Solve for x
   x = 506,520,036/11,802
6. Step 6: Final answer
   x = 42,918.15