Finding the Third Proportional to 10,027 and 14,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,027 : 14,680.50 = 14,680.50 : x
2. Step 2: Convert to fraction form
   10,027/14,680.50 = 14,680.50/x
3. Step 3: Cross multiply
   10,027x = 14,680.50 × 14,680.50
4. Step 4: Simplify right side
   10,027x = 215,517,080.25
5. Step 5: Solve for x
   x = 215,517,080.25/10,027
6. Step 6: Final answer
   x = 21,493.68