Finding the Third Proportional to 13,758.75 and 18,599.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,758.75 : 18,599.63 = 18,599.63 : x
2. Step 2: Convert to fraction form
   13,758.75/18,599.63 = 18,599.63/x
3. Step 3: Cross multiply
   13,758.75x = 18,599.63 × 18,599.63
4. Step 4: Simplify right side
   13,758.75x = 345,946,050.14
5. Step 5: Solve for x
   x = 345,946,050.14/13,758.75
6. Step 6: Final answer
   x = 25,143.71