Finding the Third Proportional to 16,820 and 25,123

Step by Step Solution

1. Step 1: Write the proportion equation
   16,820 : 25,123 = 25,123 : x
2. Step 2: Convert to fraction form
   16,820/25,123 = 25,123/x
3. Step 3: Cross multiply
   16,820x = 25,123 × 25,123
4. Step 4: Simplify right side
   16,820x = 631,165,129
5. Step 5: Solve for x
   x = 631,165,129/16,820
6. Step 6: Final answer
   x = 37,524.68