Finding the Third Proportional to 16,297 and 25,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,297 : 25,419.50 = 25,419.50 : x
2. Step 2: Convert to fraction form
   16,297/25,419.50 = 25,419.50/x
3. Step 3: Cross multiply
   16,297x = 25,419.50 × 25,419.50
4. Step 4: Simplify right side
   16,297x = 646,150,980.25
5. Step 5: Solve for x
   x = 646,150,980.25/16,297
6. Step 6: Final answer
   x = 39,648.46