Finding the Third Proportional to 10,523.25 and 21,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,523.25 : 21,343.50 = 21,343.50 : x
2. Step 2: Convert to fraction form
   10,523.25/21,343.50 = 21,343.50/x
3. Step 3: Cross multiply
   10,523.25x = 21,343.50 × 21,343.50
4. Step 4: Simplify right side
   10,523.25x = 455,544,992.25
5. Step 5: Solve for x
   x = 455,544,992.25/10,523.25
6. Step 6: Final answer
   x = 43,289.38