Finding the Third Proportional to 9,898.50 and 13,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,898.50 : 13,378.50 = 13,378.50 : x
2. Step 2: Convert to fraction form
   9,898.50/13,378.50 = 13,378.50/x
3. Step 3: Cross multiply
   9,898.50x = 13,378.50 × 13,378.50
4. Step 4: Simplify right side
   9,898.50x = 178,984,262.25
5. Step 5: Solve for x
   x = 178,984,262.25/9,898.50
6. Step 6: Final answer
   x = 18,081.96