Finding the Third Proportional to 11,767.50 and 17,258.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,767.50 : 17,258.63 = 17,258.63 : x
2. Step 2: Convert to fraction form
   11,767.50/17,258.63 = 17,258.63/x
3. Step 3: Cross multiply
   11,767.50x = 17,258.63 × 17,258.63
4. Step 4: Simplify right side
   11,767.50x = 297,860,136.89
5. Step 5: Solve for x
   x = 297,860,136.89/11,767.50
6. Step 6: Final answer
   x = 25,312.10