Finding the Third Proportional to 22,630 and 53,506

Step by Step Solution

1. Step 1: Write the proportion equation
   22,630 : 53,506 = 53,506 : x
2. Step 2: Convert to fraction form
   22,630/53,506 = 53,506/x
3. Step 3: Cross multiply
   22,630x = 53,506 × 53,506
4. Step 4: Simplify right side
   22,630x = 2,862,892,036
5. Step 5: Solve for x
   x = 2,862,892,036/22,630
6. Step 6: Final answer
   x = 126,508.71