Finding the Third Proportional to 10,585 and 14,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585 : 14,527.50 = 14,527.50 : x
2. Step 2: Convert to fraction form
   10,585/14,527.50 = 14,527.50/x
3. Step 3: Cross multiply
   10,585x = 14,527.50 × 14,527.50
4. Step 4: Simplify right side
   10,585x = 211,048,256.25
5. Step 5: Solve for x
   x = 211,048,256.25/10,585
6. Step 6: Final answer
   x = 19,938.43