Finding the Third Proportional to 12,914 and 17,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,914 : 17,427.50 = 17,427.50 : x
2. Step 2: Convert to fraction form
   12,914/17,427.50 = 17,427.50/x
3. Step 3: Cross multiply
   12,914x = 17,427.50 × 17,427.50
4. Step 4: Simplify right side
   12,914x = 303,717,756.25
5. Step 5: Solve for x
   x = 303,717,756.25/12,914
6. Step 6: Final answer
   x = 23,518.49