Finding the Third Proportional to 10,869.75 and 23,814.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,869.75 : 23,814.75 = 23,814.75 : x
2. Step 2: Convert to fraction form
   10,869.75/23,814.75 = 23,814.75/x
3. Step 3: Cross multiply
   10,869.75x = 23,814.75 × 23,814.75
4. Step 4: Simplify right side
   10,869.75x = 567,142,317.56
5. Step 5: Solve for x
   x = 567,142,317.56/10,869.75
6. Step 6: Final answer
   x = 52,176.21