Finding the Third Proportional to 9,811.50 and 14,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,811.50 : 14,017.50 = 14,017.50 : x
2. Step 2: Convert to fraction form
   9,811.50/14,017.50 = 14,017.50/x
3. Step 3: Cross multiply
   9,811.50x = 14,017.50 × 14,017.50
4. Step 4: Simplify right side
   9,811.50x = 196,490,306.25
5. Step 5: Solve for x
   x = 196,490,306.25/9,811.50
6. Step 6: Final answer
   x = 20,026.53