Finding the Third Proportional to 10,189.50 and 21,605.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189.50 : 21,605.25 = 21,605.25 : x
2. Step 2: Convert to fraction form
   10,189.50/21,605.25 = 21,605.25/x
3. Step 3: Cross multiply
   10,189.50x = 21,605.25 × 21,605.25
4. Step 4: Simplify right side
   10,189.50x = 466,786,827.56
5. Step 5: Solve for x
   x = 466,786,827.56/10,189.50
6. Step 6: Final answer
   x = 45,810.57