Finding the Third Proportional to 16,588.50 and 25,688.25

Step by Step Solution

1. Step 1: Write the proportion equation
   16,588.50 : 25,688.25 = 25,688.25 : x
2. Step 2: Convert to fraction form
   16,588.50/25,688.25 = 25,688.25/x
3. Step 3: Cross multiply
   16,588.50x = 25,688.25 × 25,688.25
4. Step 4: Simplify right side
   16,588.50x = 659,886,188.06
5. Step 5: Solve for x
   x = 659,886,188.06/16,588.50
6. Step 6: Final answer
   x = 39,779.74