Finding the Third Proportional to 16,823.06 and 25,823.81

Step by Step Solution

1. Step 1: Write the proportion equation
   16,823.06 : 25,823.81 = 25,823.81 : x
2. Step 2: Convert to fraction form
   16,823.06/25,823.81 = 25,823.81/x
3. Step 3: Cross multiply
   16,823.06x = 25,823.81 × 25,823.81
4. Step 4: Simplify right side
   16,823.06x = 666,869,292.04
5. Step 5: Solve for x
   x = 666,869,292.04/16,823.06
6. Step 6: Final answer
   x = 39,640.18