Finding the Third Proportional to 10,131.75 and 21,824.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,131.75 : 21,824.06 = 21,824.06 : x
2. Step 2: Convert to fraction form
   10,131.75/21,824.06 = 21,824.06/x
3. Step 3: Cross multiply
   10,131.75x = 21,824.06 × 21,824.06
4. Step 4: Simplify right side
   10,131.75x = 476,289,704.00
5. Step 5: Solve for x
   x = 476,289,704.00/10,131.75
6. Step 6: Final answer
   x = 47,009.62