Finding the Third Proportional to 17,649 and 25,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,649 : 25,933.50 = 25,933.50 : x
2. Step 2: Convert to fraction form
   17,649/25,933.50 = 25,933.50/x
3. Step 3: Cross multiply
   17,649x = 25,933.50 × 25,933.50
4. Step 4: Simplify right side
   17,649x = 672,546,422.25
5. Step 5: Solve for x
   x = 672,546,422.25/17,649
6. Step 6: Final answer
   x = 38,106.77