Finding the Third Proportional to 4,677.75 and 10,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,677.75 : 10,105.25 = 10,105.25 : x
2. Step 2: Convert to fraction form
   4,677.75/10,105.25 = 10,105.25/x
3. Step 3: Cross multiply
   4,677.75x = 10,105.25 × 10,105.25
4. Step 4: Simplify right side
   4,677.75x = 102,116,077.56
5. Step 5: Solve for x
   x = 102,116,077.56/4,677.75
6. Step 6: Final answer
   x = 21,830.17