Finding the Third Proportional to 10,789.75 and 14,577.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,789.75 : 14,577.75 = 14,577.75 : x
2. Step 2: Convert to fraction form
   10,789.75/14,577.75 = 14,577.75/x
3. Step 3: Cross multiply
   10,789.75x = 14,577.75 × 14,577.75
4. Step 4: Simplify right side
   10,789.75x = 212,510,795.06
5. Step 5: Solve for x
   x = 212,510,795.06/10,789.75
6. Step 6: Final answer
   x = 19,695.62