Finding the Third Proportional to 16,737 and 25,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,737 : 25,672.50 = 25,672.50 : x
2. Step 2: Convert to fraction form
   16,737/25,672.50 = 25,672.50/x
3. Step 3: Cross multiply
   16,737x = 25,672.50 × 25,672.50
4. Step 4: Simplify right side
   16,737x = 659,077,256.25
5. Step 5: Solve for x
   x = 659,077,256.25/16,737
6. Step 6: Final answer
   x = 39,378.46