Finding the Third Proportional to 10,257.75 and 13,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.75 : 13,468.50 = 13,468.50 : x
2. Step 2: Convert to fraction form
   10,257.75/13,468.50 = 13,468.50/x
3. Step 3: Cross multiply
   10,257.75x = 13,468.50 × 13,468.50
4. Step 4: Simplify right side
   10,257.75x = 181,400,492.25
5. Step 5: Solve for x
   x = 181,400,492.25/10,257.75
6. Step 6: Final answer
   x = 17,684.24