Finding the Third Proportional to 4,577.50 and 10,045.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,577.50 : 10,045.75 = 10,045.75 : x
2. Step 2: Convert to fraction form
   4,577.50/10,045.75 = 10,045.75/x
3. Step 3: Cross multiply
   4,577.50x = 10,045.75 × 10,045.75
4. Step 4: Simplify right side
   4,577.50x = 100,917,093.06
5. Step 5: Solve for x
   x = 100,917,093.06/4,577.50
6. Step 6: Final answer
   x = 22,046.33