Finding the Third Proportional to 10,698 and 14,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,698 : 14,311.50 = 14,311.50 : x
2. Step 2: Convert to fraction form
   10,698/14,311.50 = 14,311.50/x
3. Step 3: Cross multiply
   10,698x = 14,311.50 × 14,311.50
4. Step 4: Simplify right side
   10,698x = 204,819,032.25
5. Step 5: Solve for x
   x = 204,819,032.25/10,698
6. Step 6: Final answer
   x = 19,145.54