Finding the Third Proportional to 14,824.50 and 21,681.38

Step by Step Solution

1. Step 1: Write the proportion equation
   14,824.50 : 21,681.38 = 21,681.38 : x
2. Step 2: Convert to fraction form
   14,824.50/21,681.38 = 21,681.38/x
3. Step 3: Cross multiply
   14,824.50x = 21,681.38 × 21,681.38
4. Step 4: Simplify right side
   14,824.50x = 470,082,021.89
5. Step 5: Solve for x
   x = 470,082,021.89/14,824.50
6. Step 6: Final answer
   x = 31,709.81