Finding the Third Proportional to 10,585.50 and 14,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.50 : 14,815.50 = 14,815.50 : x
2. Step 2: Convert to fraction form
   10,585.50/14,815.50 = 14,815.50/x
3. Step 3: Cross multiply
   10,585.50x = 14,815.50 × 14,815.50
4. Step 4: Simplify right side
   10,585.50x = 219,499,040.25
5. Step 5: Solve for x
   x = 219,499,040.25/10,585.50
6. Step 6: Final answer
   x = 20,735.82