Finding the Third Proportional to 13,735.50 and 18,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,735.50 : 18,658.50 = 18,658.50 : x
2. Step 2: Convert to fraction form
   13,735.50/18,658.50 = 18,658.50/x
3. Step 3: Cross multiply
   13,735.50x = 18,658.50 × 18,658.50
4. Step 4: Simplify right side
   13,735.50x = 348,139,622.25
5. Step 5: Solve for x
   x = 348,139,622.25/13,735.50
6. Step 6: Final answer
   x = 25,345.97