Finding the Third Proportional to 16,853 and 25,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,853 : 25,511.50 = 25,511.50 : x
2. Step 2: Convert to fraction form
   16,853/25,511.50 = 25,511.50/x
3. Step 3: Cross multiply
   16,853x = 25,511.50 × 25,511.50
4. Step 4: Simplify right side
   16,853x = 650,836,632.25
5. Step 5: Solve for x
   x = 650,836,632.25/16,853
6. Step 6: Final answer
   x = 38,618.44