Finding the Third Proportional to 11,824.50 and 17,738.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,824.50 : 17,738.63 = 17,738.63 : x
2. Step 2: Convert to fraction form
   11,824.50/17,738.63 = 17,738.63/x
3. Step 3: Cross multiply
   11,824.50x = 17,738.63 × 17,738.63
4. Step 4: Simplify right side
   11,824.50x = 314,658,816.89
5. Step 5: Solve for x
   x = 314,658,816.89/11,824.50
6. Step 6: Final answer
   x = 26,610.75