Finding the Third Proportional to 13,574 and 20,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,574 : 20,467.50 = 20,467.50 : x
2. Step 2: Convert to fraction form
   13,574/20,467.50 = 20,467.50/x
3. Step 3: Cross multiply
   13,574x = 20,467.50 × 20,467.50
4. Step 4: Simplify right side
   13,574x = 418,918,556.25
5. Step 5: Solve for x
   x = 418,918,556.25/13,574
6. Step 6: Final answer
   x = 30,861.84