Finding the Third Proportional to 16,585 and 25,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,585 : 25,117.50 = 25,117.50 : x
2. Step 2: Convert to fraction form
   16,585/25,117.50 = 25,117.50/x
3. Step 3: Cross multiply
   16,585x = 25,117.50 × 25,117.50
4. Step 4: Simplify right side
   16,585x = 630,888,806.25
5. Step 5: Solve for x
   x = 630,888,806.25/16,585
6. Step 6: Final answer
   x = 38,039.72