Finding the Third Proportional to 16,596 and 25,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,596 : 25,696.50 = 25,696.50 : x
2. Step 2: Convert to fraction form
   16,596/25,696.50 = 25,696.50/x
3. Step 3: Cross multiply
   16,596x = 25,696.50 × 25,696.50
4. Step 4: Simplify right side
   16,596x = 660,310,112.25
5. Step 5: Solve for x
   x = 660,310,112.25/16,596
6. Step 6: Final answer
   x = 39,787.30