Finding the Third Proportional to 13,642.50 and 18,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,642.50 : 18,517.50 = 18,517.50 : x
2. Step 2: Convert to fraction form
   13,642.50/18,517.50 = 18,517.50/x
3. Step 3: Cross multiply
   13,642.50x = 18,517.50 × 18,517.50
4. Step 4: Simplify right side
   13,642.50x = 342,897,806.25
5. Step 5: Solve for x
   x = 342,897,806.25/13,642.50
6. Step 6: Final answer
   x = 25,134.53