Finding the Third Proportional to 10,795.50 and 14,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,795.50 : 14,585.25 = 14,585.25 : x
2. Step 2: Convert to fraction form
   10,795.50/14,585.25 = 14,585.25/x
3. Step 3: Cross multiply
   10,795.50x = 14,585.25 × 14,585.25
4. Step 4: Simplify right side
   10,795.50x = 212,729,517.56
5. Step 5: Solve for x
   x = 212,729,517.56/10,795.50
6. Step 6: Final answer
   x = 19,705.39