Finding the Third Proportional to 10,224 and 21,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 21,469.50 = 21,469.50 : x
2. Step 2: Convert to fraction form
   10,224/21,469.50 = 21,469.50/x
3. Step 3: Cross multiply
   10,224x = 21,469.50 × 21,469.50
4. Step 4: Simplify right side
   10,224x = 460,939,430.25
5. Step 5: Solve for x
   x = 460,939,430.25/10,224
6. Step 6: Final answer
   x = 45,084.06