Finding the Third Proportional to 11,638.69 and 23,869.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,638.69 : 23,869.69 = 23,869.69 : x
2. Step 2: Convert to fraction form
   11,638.69/23,869.69 = 23,869.69/x
3. Step 3: Cross multiply
   11,638.69x = 23,869.69 × 23,869.69
4. Step 4: Simplify right side
   11,638.69x = 569,761,981.35
5. Step 5: Solve for x
   x = 569,761,981.35/11,638.69
6. Step 6: Final answer
   x = 48,954.14