Finding the Third Proportional to 13,978.50 and 21,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,978.50 : 21,454.50 = 21,454.50 : x
2. Step 2: Convert to fraction form
   13,978.50/21,454.50 = 21,454.50/x
3. Step 3: Cross multiply
   13,978.50x = 21,454.50 × 21,454.50
4. Step 4: Simplify right side
   13,978.50x = 460,295,570.25
5. Step 5: Solve for x
   x = 460,295,570.25/13,978.50
6. Step 6: Final answer
   x = 32,928.82