Finding the Third Proportional to 13,878 and 21,370.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,878 : 21,370.50 = 21,370.50 : x
2. Step 2: Convert to fraction form
   13,878/21,370.50 = 21,370.50/x
3. Step 3: Cross multiply
   13,878x = 21,370.50 × 21,370.50
4. Step 4: Simplify right side
   13,878x = 456,698,270.25
5. Step 5: Solve for x
   x = 456,698,270.25/13,878
6. Step 6: Final answer
   x = 32,908.08