Finding the Third Proportional to 10,191 and 21,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,191 : 21,016.50 = 21,016.50 : x
2. Step 2: Convert to fraction form
   10,191/21,016.50 = 21,016.50/x
3. Step 3: Cross multiply
   10,191x = 21,016.50 × 21,016.50
4. Step 4: Simplify right side
   10,191x = 441,693,272.25
5. Step 5: Solve for x
   x = 441,693,272.25/10,191
6. Step 6: Final answer
   x = 43,341.50