Finding the Third Proportional to 13,978.50 and 20,778

Step by Step Solution

1. Step 1: Write the proportion equation
   13,978.50 : 20,778 = 20,778 : x
2. Step 2: Convert to fraction form
   13,978.50/20,778 = 20,778/x
3. Step 3: Cross multiply
   13,978.50x = 20,778 × 20,778
4. Step 4: Simplify right side
   13,978.50x = 431,725,284
5. Step 5: Solve for x
   x = 431,725,284/13,978.50
6. Step 6: Final answer
   x = 30,884.95