Finding the Third Proportional to 10,100.75 and 21,814.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.75 : 21,814.75 = 21,814.75 : x
2. Step 2: Convert to fraction form
   10,100.75/21,814.75 = 21,814.75/x
3. Step 3: Cross multiply
   10,100.75x = 21,814.75 × 21,814.75
4. Step 4: Simplify right side
   10,100.75x = 475,883,317.56
5. Step 5: Solve for x
   x = 475,883,317.56/10,100.75
6. Step 6: Final answer
   x = 47,113.66