Finding the Third Proportional to 11,548 and 23,630

Step by Step Solution

1. Step 1: Write the proportion equation
   11,548 : 23,630 = 23,630 : x
2. Step 2: Convert to fraction form
   11,548/23,630 = 23,630/x
3. Step 3: Cross multiply
   11,548x = 23,630 × 23,630
4. Step 4: Simplify right side
   11,548x = 558,376,900
5. Step 5: Solve for x
   x = 558,376,900/11,548
6. Step 6: Final answer
   x = 48,352.69